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Finding the Fourth Proportional to 1,034.55, 1,551.83 and 965.70

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Solution

The fourth proportional to 1,034.55, 1,551.83 and 965.70 is: 1,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.55 : 1,551.83 = 965.70 : x
  2. Step 2: Convert to fraction form
    1,034.55/1,551.83 = 965.70/x
  3. Step 3: Cross multiply
    1,034.55x = 1,551.83 × 965.70
  4. Step 4: Simplify right side
    1,034.55x = 1,498,597.40
  5. Step 5: Solve for x
    x = 1,498,597.40/1,034.55
  6. Step 6: Final answer
    x = 1,448.55

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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.