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Finding the Fourth Proportional to 1,240.98, 1,862.68 and 461.76

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Solution

The fourth proportional to 1,240.98, 1,862.68 and 461.76 is: 693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.98 : 1,862.68 = 461.76 : x
  2. Step 2: Convert to fraction form
    1,240.98/1,862.68 = 461.76/x
  3. Step 3: Cross multiply
    1,240.98x = 1,862.68 × 461.76
  4. Step 4: Simplify right side
    1,240.98x = 860,111.12
  5. Step 5: Solve for x
    x = 860,111.12/1,240.98
  6. Step 6: Final answer
    x = 693.09

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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.