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Finding the Fourth Proportional to 1,502.65, 2,254.19 and 462.74

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Solution

The fourth proportional to 1,502.65, 2,254.19 and 462.74 is: 694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.65 : 2,254.19 = 462.74 : x
  2. Step 2: Convert to fraction form
    1,502.65/2,254.19 = 462.74/x
  3. Step 3: Cross multiply
    1,502.65x = 2,254.19 × 462.74
  4. Step 4: Simplify right side
    1,502.65x = 1,043,103.88
  5. Step 5: Solve for x
    x = 1,043,103.88/1,502.65
  6. Step 6: Final answer
    x = 694.18

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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.