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Finding the Fourth Proportional to 956.76, 1,320.30 and 537.18

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Solution

The fourth proportional to 956.76, 1,320.30 and 537.18 is: 741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.76 : 1,320.30 = 537.18 : x
  2. Step 2: Convert to fraction form
    956.76/1,320.30 = 537.18/x
  3. Step 3: Cross multiply
    956.76x = 1,320.30 × 537.18
  4. Step 4: Simplify right side
    956.76x = 709,238.75
  5. Step 5: Solve for x
    x = 709,238.75/956.76
  6. Step 6: Final answer
    x = 741.29

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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.