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Finding the Fourth Proportional to 1,127.50, 1,555.97 and 630.14

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Solution

The fourth proportional to 1,127.50, 1,555.97 and 630.14 is: 869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.50 : 1,555.97 = 630.14 : x
  2. Step 2: Convert to fraction form
    1,127.50/1,555.97 = 630.14/x
  3. Step 3: Cross multiply
    1,127.50x = 1,555.97 × 630.14
  4. Step 4: Simplify right side
    1,127.50x = 980,468.01
  5. Step 5: Solve for x
    x = 980,468.01/1,127.50
  6. Step 6: Final answer
    x = 869.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.