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Finding the Fourth Proportional to 707.82, 1,061.30 and 317.74

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Solution

The fourth proportional to 707.82, 1,061.30 and 317.74 is: 476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.82 : 1,061.30 = 317.74 : x
  2. Step 2: Convert to fraction form
    707.82/1,061.30 = 317.74/x
  3. Step 3: Cross multiply
    707.82x = 1,061.30 × 317.74
  4. Step 4: Simplify right side
    707.82x = 337,217.46
  5. Step 5: Solve for x
    x = 337,217.46/707.82
  6. Step 6: Final answer
    x = 476.42

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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.