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Finding the Fourth Proportional to 1,153.29, 1,591.62 and 649.18

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Solution

The fourth proportional to 1,153.29, 1,591.62 and 649.18 is: 895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.29 : 1,591.62 = 649.18 : x
  2. Step 2: Convert to fraction form
    1,153.29/1,591.62 = 649.18/x
  3. Step 3: Cross multiply
    1,153.29x = 1,591.62 × 649.18
  4. Step 4: Simplify right side
    1,153.29x = 1,033,247.87
  5. Step 5: Solve for x
    x = 1,033,247.87/1,153.29
  6. Step 6: Final answer
    x = 895.91

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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.