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Finding the Fourth Proportional to 963.16, 1,442.58 and 675.88

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Solution

The fourth proportional to 963.16, 1,442.58 and 675.88 is: 1,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.16 : 1,442.58 = 675.88 : x
  2. Step 2: Convert to fraction form
    963.16/1,442.58 = 675.88/x
  3. Step 3: Cross multiply
    963.16x = 1,442.58 × 675.88
  4. Step 4: Simplify right side
    963.16x = 975,010.97
  5. Step 5: Solve for x
    x = 975,010.97/963.16
  6. Step 6: Final answer
    x = 1,012.30

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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.