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Finding the Fourth Proportional to 1,153.70, 1,591.65 and 649.44

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Solution

The fourth proportional to 1,153.70, 1,591.65 and 649.44 is: 895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.70 : 1,591.65 = 649.44 : x
  2. Step 2: Convert to fraction form
    1,153.70/1,591.65 = 649.44/x
  3. Step 3: Cross multiply
    1,153.70x = 1,591.65 × 649.44
  4. Step 4: Simplify right side
    1,153.70x = 1,033,681.18
  5. Step 5: Solve for x
    x = 1,033,681.18/1,153.70
  6. Step 6: Final answer
    x = 895.97

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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.