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Finding the Fourth Proportional to 1,470.68, 2,207.10 and 593.18

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Solution

The fourth proportional to 1,470.68, 2,207.10 and 593.18 is: 890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.68 : 2,207.10 = 593.18 : x
  2. Step 2: Convert to fraction form
    1,470.68/2,207.10 = 593.18/x
  3. Step 3: Cross multiply
    1,470.68x = 2,207.10 × 593.18
  4. Step 4: Simplify right side
    1,470.68x = 1,309,196.54
  5. Step 5: Solve for x
    x = 1,309,196.54/1,470.68
  6. Step 6: Final answer
    x = 890.20

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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.