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Finding the Fourth Proportional to 1,127.13, 1,547.17 and 1,000.02

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Solution

The fourth proportional to 1,127.13, 1,547.17 and 1,000.02 is: 1,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.13 : 1,547.17 = 1,000.02 : x
  2. Step 2: Convert to fraction form
    1,127.13/1,547.17 = 1,000.02/x
  3. Step 3: Cross multiply
    1,127.13x = 1,547.17 × 1,000.02
  4. Step 4: Simplify right side
    1,127.13x = 1,547,200.94
  5. Step 5: Solve for x
    x = 1,547,200.94/1,127.13
  6. Step 6: Final answer
    x = 1,372.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.