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Finding the Fourth Proportional to 714.60, 1,072.42 and 471.64

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Solution

The fourth proportional to 714.60, 1,072.42 and 471.64 is: 707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.60 : 1,072.42 = 471.64 : x
  2. Step 2: Convert to fraction form
    714.60/1,072.42 = 471.64/x
  3. Step 3: Cross multiply
    714.60x = 1,072.42 × 471.64
  4. Step 4: Simplify right side
    714.60x = 505,796.17
  5. Step 5: Solve for x
    x = 505,796.17/714.60
  6. Step 6: Final answer
    x = 707.80

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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.