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Finding the Fourth Proportional to 714.91, 1,072.77 and 471.55

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Solution

The fourth proportional to 714.91, 1,072.77 and 471.55 is: 707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.91 : 1,072.77 = 471.55 : x
  2. Step 2: Convert to fraction form
    714.91/1,072.77 = 471.55/x
  3. Step 3: Cross multiply
    714.91x = 1,072.77 × 471.55
  4. Step 4: Simplify right side
    714.91x = 505,864.69
  5. Step 5: Solve for x
    x = 505,864.69/714.91
  6. Step 6: Final answer
    x = 707.59

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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.