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Finding the Fourth Proportional to 1,029.10, 1,543.65 and 509.20

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Solution

The fourth proportional to 1,029.10, 1,543.65 and 509.20 is: 763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.10 : 1,543.65 = 509.20 : x
  2. Step 2: Convert to fraction form
    1,029.10/1,543.65 = 509.20/x
  3. Step 3: Cross multiply
    1,029.10x = 1,543.65 × 509.20
  4. Step 4: Simplify right side
    1,029.10x = 786,026.58
  5. Step 5: Solve for x
    x = 786,026.58/1,029.10
  6. Step 6: Final answer
    x = 763.80

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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.