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Finding the Fourth Proportional to 1,153.95, 1,592.56 and 656.61

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Solution

The fourth proportional to 1,153.95, 1,592.56 and 656.61 is: 906.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.95 : 1,592.56 = 656.61 : x
  2. Step 2: Convert to fraction form
    1,153.95/1,592.56 = 656.61/x
  3. Step 3: Cross multiply
    1,153.95x = 1,592.56 × 656.61
  4. Step 4: Simplify right side
    1,153.95x = 1,045,685.67
  5. Step 5: Solve for x
    x = 1,045,685.67/1,153.95
  6. Step 6: Final answer
    x = 906.18

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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.