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Finding the Fourth Proportional to 1,029.42, 1,543.41 and 508.79

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Solution

The fourth proportional to 1,029.42, 1,543.41 and 508.79 is: 762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.42 : 1,543.41 = 508.79 : x
  2. Step 2: Convert to fraction form
    1,029.42/1,543.41 = 508.79/x
  3. Step 3: Cross multiply
    1,029.42x = 1,543.41 × 508.79
  4. Step 4: Simplify right side
    1,029.42x = 785,263.86
  5. Step 5: Solve for x
    x = 785,263.86/1,029.42
  6. Step 6: Final answer
    x = 762.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.