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Finding the Fourth Proportional to 687.09, 948.36 and 424.96

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Solution

The fourth proportional to 687.09, 948.36 and 424.96 is: 586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.09 : 948.36 = 424.96 : x
  2. Step 2: Convert to fraction form
    687.09/948.36 = 424.96/x
  3. Step 3: Cross multiply
    687.09x = 948.36 × 424.96
  4. Step 4: Simplify right side
    687.09x = 403,015.07
  5. Step 5: Solve for x
    x = 403,015.07/687.09
  6. Step 6: Final answer
    x = 586.55

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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.