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Finding the Fourth Proportional to 1,029.53, 1,543.89 and 452

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Solution

The fourth proportional to 1,029.53, 1,543.89 and 452 is: 677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.53 : 1,543.89 = 452 : x
  2. Step 2: Convert to fraction form
    1,029.53/1,543.89 = 452/x
  3. Step 3: Cross multiply
    1,029.53x = 1,543.89 × 452
  4. Step 4: Simplify right side
    1,029.53x = 697,838.28
  5. Step 5: Solve for x
    x = 697,838.28/1,029.53
  6. Step 6: Final answer
    x = 677.82

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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.