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Finding the Fourth Proportional to 966.42, 1,442.61 and 830.34

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Solution

The fourth proportional to 966.42, 1,442.61 and 830.34 is: 1,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.42 : 1,442.61 = 830.34 : x
  2. Step 2: Convert to fraction form
    966.42/1,442.61 = 830.34/x
  3. Step 3: Cross multiply
    966.42x = 1,442.61 × 830.34
  4. Step 4: Simplify right side
    966.42x = 1,197,856.79
  5. Step 5: Solve for x
    x = 1,197,856.79/966.42
  6. Step 6: Final answer
    x = 1,239.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.