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Finding the Fourth Proportional to 1,029.13, 1,543.70 and 345.13

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Solution

The fourth proportional to 1,029.13, 1,543.70 and 345.13 is: 517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.13 : 1,543.70 = 345.13 : x
  2. Step 2: Convert to fraction form
    1,029.13/1,543.70 = 345.13/x
  3. Step 3: Cross multiply
    1,029.13x = 1,543.70 × 345.13
  4. Step 4: Simplify right side
    1,029.13x = 532,767.74
  5. Step 5: Solve for x
    x = 532,767.74/1,029.13
  6. Step 6: Final answer
    x = 517.69

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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.