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Finding the Fourth Proportional to 1,053.24, 1,580.28 and 591.33

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Solution

The fourth proportional to 1,053.24, 1,580.28 and 591.33 is: 887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.24 : 1,580.28 = 591.33 : x
  2. Step 2: Convert to fraction form
    1,053.24/1,580.28 = 591.33/x
  3. Step 3: Cross multiply
    1,053.24x = 1,580.28 × 591.33
  4. Step 4: Simplify right side
    1,053.24x = 934,466.97
  5. Step 5: Solve for x
    x = 934,466.97/1,053.24
  6. Step 6: Final answer
    x = 887.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.