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Finding the Fourth Proportional to 1,489.55, 2,233.67 and 565.83

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Solution

The fourth proportional to 1,489.55, 2,233.67 and 565.83 is: 848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.55 : 2,233.67 = 565.83 : x
  2. Step 2: Convert to fraction form
    1,489.55/2,233.67 = 565.83/x
  3. Step 3: Cross multiply
    1,489.55x = 2,233.67 × 565.83
  4. Step 4: Simplify right side
    1,489.55x = 1,263,874.67
  5. Step 5: Solve for x
    x = 1,263,874.67/1,489.55
  6. Step 6: Final answer
    x = 848.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.