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Finding the Fourth Proportional to 1,024.76, 1,537.14 and 331.40

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Solution

The fourth proportional to 1,024.76, 1,537.14 and 331.40 is: 497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.76 : 1,537.14 = 331.40 : x
  2. Step 2: Convert to fraction form
    1,024.76/1,537.14 = 331.40/x
  3. Step 3: Cross multiply
    1,024.76x = 1,537.14 × 331.40
  4. Step 4: Simplify right side
    1,024.76x = 509,408.20
  5. Step 5: Solve for x
    x = 509,408.20/1,024.76
  6. Step 6: Final answer
    x = 497.10

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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.