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Finding the Fourth Proportional to 1,152.59, 1,727.90 and 422.04

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Solution

The fourth proportional to 1,152.59, 1,727.90 and 422.04 is: 632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.59 : 1,727.90 = 422.04 : x
  2. Step 2: Convert to fraction form
    1,152.59/1,727.90 = 422.04/x
  3. Step 3: Cross multiply
    1,152.59x = 1,727.90 × 422.04
  4. Step 4: Simplify right side
    1,152.59x = 729,242.92
  5. Step 5: Solve for x
    x = 729,242.92/1,152.59
  6. Step 6: Final answer
    x = 632.70

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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.