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Finding the Fourth Proportional to 1,153.36, 1,591.26 and 655.82

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Solution

The fourth proportional to 1,153.36, 1,591.26 and 655.82 is: 904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.36 : 1,591.26 = 655.82 : x
  2. Step 2: Convert to fraction form
    1,153.36/1,591.26 = 655.82/x
  3. Step 3: Cross multiply
    1,153.36x = 1,591.26 × 655.82
  4. Step 4: Simplify right side
    1,153.36x = 1,043,580.13
  5. Step 5: Solve for x
    x = 1,043,580.13/1,153.36
  6. Step 6: Final answer
    x = 904.82

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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.