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Finding the Fourth Proportional to 838.30, 1,258.80 and 565.60

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Solution

The fourth proportional to 838.30, 1,258.80 and 565.60 is: 849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.30 : 1,258.80 = 565.60 : x
  2. Step 2: Convert to fraction form
    838.30/1,258.80 = 565.60/x
  3. Step 3: Cross multiply
    838.30x = 1,258.80 × 565.60
  4. Step 4: Simplify right side
    838.30x = 711,977.28
  5. Step 5: Solve for x
    x = 711,977.28/838.30
  6. Step 6: Final answer
    x = 849.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.