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Finding the Fourth Proportional to 1,153.35, 1,591.71 and 656.15

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Solution

The fourth proportional to 1,153.35, 1,591.71 and 656.15 is: 905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.35 : 1,591.71 = 656.15 : x
  2. Step 2: Convert to fraction form
    1,153.35/1,591.71 = 656.15/x
  3. Step 3: Cross multiply
    1,153.35x = 1,591.71 × 656.15
  4. Step 4: Simplify right side
    1,153.35x = 1,044,392.47
  5. Step 5: Solve for x
    x = 1,044,392.47/1,153.35
  6. Step 6: Final answer
    x = 905.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.