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Finding the Fourth Proportional to 1,127.14, 1,691.32 and 510.80

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Solution

The fourth proportional to 1,127.14, 1,691.32 and 510.80 is: 766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.14 : 1,691.32 = 510.80 : x
  2. Step 2: Convert to fraction form
    1,127.14/1,691.32 = 510.80/x
  3. Step 3: Cross multiply
    1,127.14x = 1,691.32 × 510.80
  4. Step 4: Simplify right side
    1,127.14x = 863,926.26
  5. Step 5: Solve for x
    x = 863,926.26/1,127.14
  6. Step 6: Final answer
    x = 766.48

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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.