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Finding the Fourth Proportional to 978.46, 1,350.10 and 585.38

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Solution

The fourth proportional to 978.46, 1,350.10 and 585.38 is: 807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.46 : 1,350.10 = 585.38 : x
  2. Step 2: Convert to fraction form
    978.46/1,350.10 = 585.38/x
  3. Step 3: Cross multiply
    978.46x = 1,350.10 × 585.38
  4. Step 4: Simplify right side
    978.46x = 790,321.54
  5. Step 5: Solve for x
    x = 790,321.54/978.46
  6. Step 6: Final answer
    x = 807.72

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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.