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Finding the Fourth Proportional to 1,613.22, 2,419.80 and 502.65

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Solution

The fourth proportional to 1,613.22, 2,419.80 and 502.65 is: 753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.22 : 2,419.80 = 502.65 : x
  2. Step 2: Convert to fraction form
    1,613.22/2,419.80 = 502.65/x
  3. Step 3: Cross multiply
    1,613.22x = 2,419.80 × 502.65
  4. Step 4: Simplify right side
    1,613.22x = 1,216,312.47
  5. Step 5: Solve for x
    x = 1,216,312.47/1,613.22
  6. Step 6: Final answer
    x = 753.97

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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.