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Finding the Fourth Proportional to 1,024.63, 1,537.40 and 439.78

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Solution

The fourth proportional to 1,024.63, 1,537.40 and 439.78 is: 659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.63 : 1,537.40 = 439.78 : x
  2. Step 2: Convert to fraction form
    1,024.63/1,537.40 = 439.78/x
  3. Step 3: Cross multiply
    1,024.63x = 1,537.40 × 439.78
  4. Step 4: Simplify right side
    1,024.63x = 676,117.77
  5. Step 5: Solve for x
    x = 676,117.77/1,024.63
  6. Step 6: Final answer
    x = 659.87

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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.