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Finding the Fourth Proportional to 679.54, 1,023.95 and 560.46

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Solution

The fourth proportional to 679.54, 1,023.95 and 560.46 is: 844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.54 : 1,023.95 = 560.46 : x
  2. Step 2: Convert to fraction form
    679.54/1,023.95 = 560.46/x
  3. Step 3: Cross multiply
    679.54x = 1,023.95 × 560.46
  4. Step 4: Simplify right side
    679.54x = 573,883.02
  5. Step 5: Solve for x
    x = 573,883.02/679.54
  6. Step 6: Final answer
    x = 844.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.