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Finding the Fourth Proportional to 1,137.09, 1,702.76 and 649.29

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Solution

The fourth proportional to 1,137.09, 1,702.76 and 649.29 is: 972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.09 : 1,702.76 = 649.29 : x
  2. Step 2: Convert to fraction form
    1,137.09/1,702.76 = 649.29/x
  3. Step 3: Cross multiply
    1,137.09x = 1,702.76 × 649.29
  4. Step 4: Simplify right side
    1,137.09x = 1,105,581.79
  5. Step 5: Solve for x
    x = 1,105,581.79/1,137.09
  6. Step 6: Final answer
    x = 972.29

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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.