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Finding the Fourth Proportional to 960.18, 1,440.83 and 631.53

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Solution

The fourth proportional to 960.18, 1,440.83 and 631.53 is: 947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.18 : 1,440.83 = 631.53 : x
  2. Step 2: Convert to fraction form
    960.18/1,440.83 = 631.53/x
  3. Step 3: Cross multiply
    960.18x = 1,440.83 × 631.53
  4. Step 4: Simplify right side
    960.18x = 909,920.17
  5. Step 5: Solve for x
    x = 909,920.17/960.18
  6. Step 6: Final answer
    x = 947.66

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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.