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Finding the Fourth Proportional to 714.97, 1,071.07 and 470.76

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Solution

The fourth proportional to 714.97, 1,071.07 and 470.76 is: 705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.97 : 1,071.07 = 470.76 : x
  2. Step 2: Convert to fraction form
    714.97/1,071.07 = 470.76/x
  3. Step 3: Cross multiply
    714.97x = 1,071.07 × 470.76
  4. Step 4: Simplify right side
    714.97x = 504,216.91
  5. Step 5: Solve for x
    x = 504,216.91/714.97
  6. Step 6: Final answer
    x = 705.23

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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.