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Finding the Fourth Proportional to 707.34, 1,060.80 and 477.66

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Solution

The fourth proportional to 707.34, 1,060.80 and 477.66 is: 716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.34 : 1,060.80 = 477.66 : x
  2. Step 2: Convert to fraction form
    707.34/1,060.80 = 477.66/x
  3. Step 3: Cross multiply
    707.34x = 1,060.80 × 477.66
  4. Step 4: Simplify right side
    707.34x = 506,701.73
  5. Step 5: Solve for x
    x = 506,701.73/707.34
  6. Step 6: Final answer
    x = 716.35

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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.