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Finding the Fourth Proportional to 1,177.52, 1,624.10 and 1,002.11

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Solution

The fourth proportional to 1,177.52, 1,624.10 and 1,002.11 is: 1,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.52 : 1,624.10 = 1,002.11 : x
  2. Step 2: Convert to fraction form
    1,177.52/1,624.10 = 1,002.11/x
  3. Step 3: Cross multiply
    1,177.52x = 1,624.10 × 1,002.11
  4. Step 4: Simplify right side
    1,177.52x = 1,627,513.72
  5. Step 5: Solve for x
    x = 1,627,513.72/1,177.52
  6. Step 6: Final answer
    x = 1,382.16

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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.