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Finding the Fourth Proportional to 1,613.20, 2,419.98 and 572.98

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Solution

The fourth proportional to 1,613.20, 2,419.98 and 572.98 is: 859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.20 : 2,419.98 = 572.98 : x
  2. Step 2: Convert to fraction form
    1,613.20/2,419.98 = 572.98/x
  3. Step 3: Cross multiply
    1,613.20x = 2,419.98 × 572.98
  4. Step 4: Simplify right side
    1,613.20x = 1,386,600.14
  5. Step 5: Solve for x
    x = 1,386,600.14/1,613.20
  6. Step 6: Final answer
    x = 859.53

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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.