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Finding the Fourth Proportional to 686.93, 947.36 and 462.89

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Solution

The fourth proportional to 686.93, 947.36 and 462.89 is: 638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.93 : 947.36 = 462.89 : x
  2. Step 2: Convert to fraction form
    686.93/947.36 = 462.89/x
  3. Step 3: Cross multiply
    686.93x = 947.36 × 462.89
  4. Step 4: Simplify right side
    686.93x = 438,527.00
  5. Step 5: Solve for x
    x = 438,527.00/686.93
  6. Step 6: Final answer
    x = 638.39

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.