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Finding the Fourth Proportional to 688.36, 1,030.96 and 414.13

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Solution

The fourth proportional to 688.36, 1,030.96 and 414.13 is: 620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.36 : 1,030.96 = 414.13 : x
  2. Step 2: Convert to fraction form
    688.36/1,030.96 = 414.13/x
  3. Step 3: Cross multiply
    688.36x = 1,030.96 × 414.13
  4. Step 4: Simplify right side
    688.36x = 426,951.34
  5. Step 5: Solve for x
    x = 426,951.34/688.36
  6. Step 6: Final answer
    x = 620.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.