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Finding the Fourth Proportional to 1,572.29, 2,357.82 and 517.86

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Solution

The fourth proportional to 1,572.29, 2,357.82 and 517.86 is: 776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.29 : 2,357.82 = 517.86 : x
  2. Step 2: Convert to fraction form
    1,572.29/2,357.82 = 517.86/x
  3. Step 3: Cross multiply
    1,572.29x = 2,357.82 × 517.86
  4. Step 4: Simplify right side
    1,572.29x = 1,221,020.67
  5. Step 5: Solve for x
    x = 1,221,020.67/1,572.29
  6. Step 6: Final answer
    x = 776.59

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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.