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Finding the Fourth Proportional to 1,411.55, 2,117.33 and 545.75

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Solution

The fourth proportional to 1,411.55, 2,117.33 and 545.75 is: 818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.55 : 2,117.33 = 545.75 : x
  2. Step 2: Convert to fraction form
    1,411.55/2,117.33 = 545.75/x
  3. Step 3: Cross multiply
    1,411.55x = 2,117.33 × 545.75
  4. Step 4: Simplify right side
    1,411.55x = 1,155,530.12
  5. Step 5: Solve for x
    x = 1,155,530.12/1,411.55
  6. Step 6: Final answer
    x = 818.63

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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.