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Finding the Fourth Proportional to 1,033.67, 1,424.25 and 701.52

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Solution

The fourth proportional to 1,033.67, 1,424.25 and 701.52 is: 966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.67 : 1,424.25 = 701.52 : x
  2. Step 2: Convert to fraction form
    1,033.67/1,424.25 = 701.52/x
  3. Step 3: Cross multiply
    1,033.67x = 1,424.25 × 701.52
  4. Step 4: Simplify right side
    1,033.67x = 999,139.86
  5. Step 5: Solve for x
    x = 999,139.86/1,033.67
  6. Step 6: Final answer
    x = 966.60

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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.