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Finding the Fourth Proportional to 1,135.80, 1,702.32 and 649.16

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Solution

The fourth proportional to 1,135.80, 1,702.32 and 649.16 is: 972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.80 : 1,702.32 = 649.16 : x
  2. Step 2: Convert to fraction form
    1,135.80/1,702.32 = 649.16/x
  3. Step 3: Cross multiply
    1,135.80x = 1,702.32 × 649.16
  4. Step 4: Simplify right side
    1,135.80x = 1,105,078.05
  5. Step 5: Solve for x
    x = 1,105,078.05/1,135.80
  6. Step 6: Final answer
    x = 972.95

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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.