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Finding the Fourth Proportional to 968.32, 1,333.02 and 870.04

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Solution

The fourth proportional to 968.32, 1,333.02 and 870.04 is: 1,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.32 : 1,333.02 = 870.04 : x
  2. Step 2: Convert to fraction form
    968.32/1,333.02 = 870.04/x
  3. Step 3: Cross multiply
    968.32x = 1,333.02 × 870.04
  4. Step 4: Simplify right side
    968.32x = 1,159,780.72
  5. Step 5: Solve for x
    x = 1,159,780.72/968.32
  6. Step 6: Final answer
    x = 1,197.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.