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Finding the Fourth Proportional to 1,064.90, 1,475.89 and 1,049.10

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Solution

The fourth proportional to 1,064.90, 1,475.89 and 1,049.10 is: 1,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.90 : 1,475.89 = 1,049.10 : x
  2. Step 2: Convert to fraction form
    1,064.90/1,475.89 = 1,049.10/x
  3. Step 3: Cross multiply
    1,064.90x = 1,475.89 × 1,049.10
  4. Step 4: Simplify right side
    1,064.90x = 1,548,356.20
  5. Step 5: Solve for x
    x = 1,548,356.20/1,064.90
  6. Step 6: Final answer
    x = 1,453.99

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.