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Finding the Fourth Proportional to 707.34, 1,062.62 and 613.38

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Solution

The fourth proportional to 707.34, 1,062.62 and 613.38 is: 921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.34 : 1,062.62 = 613.38 : x
  2. Step 2: Convert to fraction form
    707.34/1,062.62 = 613.38/x
  3. Step 3: Cross multiply
    707.34x = 1,062.62 × 613.38
  4. Step 4: Simplify right side
    707.34x = 651,789.86
  5. Step 5: Solve for x
    x = 651,789.86/707.34
  6. Step 6: Final answer
    x = 921.47

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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.