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Finding the Fourth Proportional to 1,034.80, 1,554.68 and 997.87

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Solution

The fourth proportional to 1,034.80, 1,554.68 and 997.87 is: 1,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.80 : 1,554.68 = 997.87 : x
  2. Step 2: Convert to fraction form
    1,034.80/1,554.68 = 997.87/x
  3. Step 3: Cross multiply
    1,034.80x = 1,554.68 × 997.87
  4. Step 4: Simplify right side
    1,034.80x = 1,551,368.53
  5. Step 5: Solve for x
    x = 1,551,368.53/1,034.80
  6. Step 6: Final answer
    x = 1,499.20

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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.