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Finding the Fourth Proportional to 685.76, 1,023.76 and 656.96

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Solution

The fourth proportional to 685.76, 1,023.76 and 656.96 is: 980.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.76 : 1,023.76 = 656.96 : x
  2. Step 2: Convert to fraction form
    685.76/1,023.76 = 656.96/x
  3. Step 3: Cross multiply
    685.76x = 1,023.76 × 656.96
  4. Step 4: Simplify right side
    685.76x = 672,569.37
  5. Step 5: Solve for x
    x = 672,569.37/685.76
  6. Step 6: Final answer
    x = 980.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.