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Finding the Fourth Proportional to 1,029.26, 1,543.10 and 535.46

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Solution

The fourth proportional to 1,029.26, 1,543.10 and 535.46 is: 802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.26 : 1,543.10 = 535.46 : x
  2. Step 2: Convert to fraction form
    1,029.26/1,543.10 = 535.46/x
  3. Step 3: Cross multiply
    1,029.26x = 1,543.10 × 535.46
  4. Step 4: Simplify right side
    1,029.26x = 826,257.93
  5. Step 5: Solve for x
    x = 826,257.93/1,029.26
  6. Step 6: Final answer
    x = 802.77

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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.