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Finding the Fourth Proportional to 959.73, 1,437.33 and 761.43

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Solution

The fourth proportional to 959.73, 1,437.33 and 761.43 is: 1,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.73 : 1,437.33 = 761.43 : x
  2. Step 2: Convert to fraction form
    959.73/1,437.33 = 761.43/x
  3. Step 3: Cross multiply
    959.73x = 1,437.33 × 761.43
  4. Step 4: Simplify right side
    959.73x = 1,094,426.18
  5. Step 5: Solve for x
    x = 1,094,426.18/959.73
  6. Step 6: Final answer
    x = 1,140.35

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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.