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Finding the Fourth Proportional to 1,065.47, 1,599.16 and 545.83

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Solution

The fourth proportional to 1,065.47, 1,599.16 and 545.83 is: 819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.47 : 1,599.16 = 545.83 : x
  2. Step 2: Convert to fraction form
    1,065.47/1,599.16 = 545.83/x
  3. Step 3: Cross multiply
    1,065.47x = 1,599.16 × 545.83
  4. Step 4: Simplify right side
    1,065.47x = 872,858.78
  5. Step 5: Solve for x
    x = 872,858.78/1,065.47
  6. Step 6: Final answer
    x = 819.22

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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.