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Finding the Fourth Proportional to 978.62, 1,350.88 and 585.56

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Solution

The fourth proportional to 978.62, 1,350.88 and 585.56 is: 808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.62 : 1,350.88 = 585.56 : x
  2. Step 2: Convert to fraction form
    978.62/1,350.88 = 585.56/x
  3. Step 3: Cross multiply
    978.62x = 1,350.88 × 585.56
  4. Step 4: Simplify right side
    978.62x = 791,023.21
  5. Step 5: Solve for x
    x = 791,023.21/978.62
  6. Step 6: Final answer
    x = 808.31

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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.