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Finding the Fourth Proportional to 978.26, 1,350.03 and 585.20

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Solution

The fourth proportional to 978.26, 1,350.03 and 585.20 is: 807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.26 : 1,350.03 = 585.20 : x
  2. Step 2: Convert to fraction form
    978.26/1,350.03 = 585.20/x
  3. Step 3: Cross multiply
    978.26x = 1,350.03 × 585.20
  4. Step 4: Simplify right side
    978.26x = 790,043.13
  5. Step 5: Solve for x
    x = 790,043.13/978.26
  6. Step 6: Final answer
    x = 807.60

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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.