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Finding the Fourth Proportional to 978.56, 1,350.26 and 585.50

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Solution

The fourth proportional to 978.56, 1,350.26 and 585.50 is: 807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.56 : 1,350.26 = 585.50 : x
  2. Step 2: Convert to fraction form
    978.56/1,350.26 = 585.50/x
  3. Step 3: Cross multiply
    978.56x = 1,350.26 × 585.50
  4. Step 4: Simplify right side
    978.56x = 790,577.23
  5. Step 5: Solve for x
    x = 790,577.23/978.56
  6. Step 6: Final answer
    x = 807.90

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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.