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Finding the Fourth Proportional to 1,053.61, 1,580.69 and 591.73

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Solution

The fourth proportional to 1,053.61, 1,580.69 and 591.73 is: 887.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.61 : 1,580.69 = 591.73 : x
  2. Step 2: Convert to fraction form
    1,053.61/1,580.69 = 591.73/x
  3. Step 3: Cross multiply
    1,053.61x = 1,580.69 × 591.73
  4. Step 4: Simplify right side
    1,053.61x = 935,341.69
  5. Step 5: Solve for x
    x = 935,341.69/1,053.61
  6. Step 6: Final answer
    x = 887.75

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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.