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Finding the Fourth Proportional to 978.52, 1,350.48 and 585.76

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Solution

The fourth proportional to 978.52, 1,350.48 and 585.76 is: 808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.52 : 1,350.48 = 585.76 : x
  2. Step 2: Convert to fraction form
    978.52/1,350.48 = 585.76/x
  3. Step 3: Cross multiply
    978.52x = 1,350.48 × 585.76
  4. Step 4: Simplify right side
    978.52x = 791,057.16
  5. Step 5: Solve for x
    x = 791,057.16/978.52
  6. Step 6: Final answer
    x = 808.42

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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.