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Finding the Fourth Proportional to 1,137.48, 1,702.98 and 864.68

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Solution

The fourth proportional to 1,137.48, 1,702.98 and 864.68 is: 1,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.48 : 1,702.98 = 864.68 : x
  2. Step 2: Convert to fraction form
    1,137.48/1,702.98 = 864.68/x
  3. Step 3: Cross multiply
    1,137.48x = 1,702.98 × 864.68
  4. Step 4: Simplify right side
    1,137.48x = 1,472,532.75
  5. Step 5: Solve for x
    x = 1,472,532.75/1,137.48
  6. Step 6: Final answer
    x = 1,294.56

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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.