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Finding the Fourth Proportional to 1,046.50, 1,444.15 and 752.06

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Solution

The fourth proportional to 1,046.50, 1,444.15 and 752.06 is: 1,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.50 : 1,444.15 = 752.06 : x
  2. Step 2: Convert to fraction form
    1,046.50/1,444.15 = 752.06/x
  3. Step 3: Cross multiply
    1,046.50x = 1,444.15 × 752.06
  4. Step 4: Simplify right side
    1,046.50x = 1,086,087.45
  5. Step 5: Solve for x
    x = 1,086,087.45/1,046.50
  6. Step 6: Final answer
    x = 1,037.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.