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Finding the Fourth Proportional to 1,153.42, 1,591.85 and 656.13

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Solution

The fourth proportional to 1,153.42, 1,591.85 and 656.13 is: 905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.42 : 1,591.85 = 656.13 : x
  2. Step 2: Convert to fraction form
    1,153.42/1,591.85 = 656.13/x
  3. Step 3: Cross multiply
    1,153.42x = 1,591.85 × 656.13
  4. Step 4: Simplify right side
    1,153.42x = 1,044,466.16
  5. Step 5: Solve for x
    x = 1,044,466.16/1,153.42
  6. Step 6: Final answer
    x = 905.54

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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.