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Finding the Fourth Proportional to 1,066.14, 1,598.85 and 545.58

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Solution

The fourth proportional to 1,066.14, 1,598.85 and 545.58 is: 818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.14 : 1,598.85 = 545.58 : x
  2. Step 2: Convert to fraction form
    1,066.14/1,598.85 = 545.58/x
  3. Step 3: Cross multiply
    1,066.14x = 1,598.85 × 545.58
  4. Step 4: Simplify right side
    1,066.14x = 872,300.58
  5. Step 5: Solve for x
    x = 872,300.58/1,066.14
  6. Step 6: Final answer
    x = 818.19

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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.