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Finding the Fourth Proportional to 890.36, 1,228.69 and 497.38

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Solution

The fourth proportional to 890.36, 1,228.69 and 497.38 is: 686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.36 : 1,228.69 = 497.38 : x
  2. Step 2: Convert to fraction form
    890.36/1,228.69 = 497.38/x
  3. Step 3: Cross multiply
    890.36x = 1,228.69 × 497.38
  4. Step 4: Simplify right side
    890.36x = 611,125.83
  5. Step 5: Solve for x
    x = 611,125.83/890.36
  6. Step 6: Final answer
    x = 686.38

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Half scale
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Double scale
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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.