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Finding the Fourth Proportional to 963.46, 1,446.54 and 597.16

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Solution

The fourth proportional to 963.46, 1,446.54 and 597.16 is: 896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.46 : 1,446.54 = 597.16 : x
  2. Step 2: Convert to fraction form
    963.46/1,446.54 = 597.16/x
  3. Step 3: Cross multiply
    963.46x = 1,446.54 × 597.16
  4. Step 4: Simplify right side
    963.46x = 863,815.83
  5. Step 5: Solve for x
    x = 863,815.83/963.46
  6. Step 6: Final answer
    x = 896.58

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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.