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Finding the Fourth Proportional to 938.36, 1,407.70 and 425.08

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Solution

The fourth proportional to 938.36, 1,407.70 and 425.08 is: 637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.36 : 1,407.70 = 425.08 : x
  2. Step 2: Convert to fraction form
    938.36/1,407.70 = 425.08/x
  3. Step 3: Cross multiply
    938.36x = 1,407.70 × 425.08
  4. Step 4: Simplify right side
    938.36x = 598,385.12
  5. Step 5: Solve for x
    x = 598,385.12/938.36
  6. Step 6: Final answer
    x = 637.69

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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.