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Finding the Fourth Proportional to 1,161.40, 1,742.10 and 545.53

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Solution

The fourth proportional to 1,161.40, 1,742.10 and 545.53 is: 818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.40 : 1,742.10 = 545.53 : x
  2. Step 2: Convert to fraction form
    1,161.40/1,742.10 = 545.53/x
  3. Step 3: Cross multiply
    1,161.40x = 1,742.10 × 545.53
  4. Step 4: Simplify right side
    1,161.40x = 950,367.81
  5. Step 5: Solve for x
    x = 950,367.81/1,161.40
  6. Step 6: Final answer
    x = 818.30

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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.