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Finding the Fourth Proportional to 978.64, 1,466.07 and 669.76

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Solution

The fourth proportional to 978.64, 1,466.07 and 669.76 is: 1,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.64 : 1,466.07 = 669.76 : x
  2. Step 2: Convert to fraction form
    978.64/1,466.07 = 669.76/x
  3. Step 3: Cross multiply
    978.64x = 1,466.07 × 669.76
  4. Step 4: Simplify right side
    978.64x = 981,915.04
  5. Step 5: Solve for x
    x = 981,915.04/978.64
  6. Step 6: Final answer
    x = 1,003.35

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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.