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Finding the Fourth Proportional to 1,128.46, 1,693.76 and 581.02

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Solution

The fourth proportional to 1,128.46, 1,693.76 and 581.02 is: 872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.46 : 1,693.76 = 581.02 : x
  2. Step 2: Convert to fraction form
    1,128.46/1,693.76 = 581.02/x
  3. Step 3: Cross multiply
    1,128.46x = 1,693.76 × 581.02
  4. Step 4: Simplify right side
    1,128.46x = 984,108.44
  5. Step 5: Solve for x
    x = 984,108.44/1,128.46
  6. Step 6: Final answer
    x = 872.08

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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.