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Finding the Fourth Proportional to 714.75, 1,071.10 and 509.73

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Solution

The fourth proportional to 714.75, 1,071.10 and 509.73 is: 763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.75 : 1,071.10 = 509.73 : x
  2. Step 2: Convert to fraction form
    714.75/1,071.10 = 509.73/x
  3. Step 3: Cross multiply
    714.75x = 1,071.10 × 509.73
  4. Step 4: Simplify right side
    714.75x = 545,971.80
  5. Step 5: Solve for x
    x = 545,971.80/714.75
  6. Step 6: Final answer
    x = 763.86

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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.