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Finding the Fourth Proportional to 978.66, 1,350.46 and 559.08

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Solution

The fourth proportional to 978.66, 1,350.46 and 559.08 is: 771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.66 : 1,350.46 = 559.08 : x
  2. Step 2: Convert to fraction form
    978.66/1,350.46 = 559.08/x
  3. Step 3: Cross multiply
    978.66x = 1,350.46 × 559.08
  4. Step 4: Simplify right side
    978.66x = 755,015.18
  5. Step 5: Solve for x
    x = 755,015.18/978.66
  6. Step 6: Final answer
    x = 771.48

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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.