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Finding the Fourth Proportional to 963.48, 1,446.64 and 917.16

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Solution

The fourth proportional to 963.48, 1,446.64 and 917.16 is: 1,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.48 : 1,446.64 = 917.16 : x
  2. Step 2: Convert to fraction form
    963.48/1,446.64 = 917.16/x
  3. Step 3: Cross multiply
    963.48x = 1,446.64 × 917.16
  4. Step 4: Simplify right side
    963.48x = 1,326,800.34
  5. Step 5: Solve for x
    x = 1,326,800.34/963.48
  6. Step 6: Final answer
    x = 1,377.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.