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Finding the Fourth Proportional to 698.60, 964.50 and 502.76

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Solution

The fourth proportional to 698.60, 964.50 and 502.76 is: 694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.60 : 964.50 = 502.76 : x
  2. Step 2: Convert to fraction form
    698.60/964.50 = 502.76/x
  3. Step 3: Cross multiply
    698.60x = 964.50 × 502.76
  4. Step 4: Simplify right side
    698.60x = 484,912.02
  5. Step 5: Solve for x
    x = 484,912.02/698.60
  6. Step 6: Final answer
    x = 694.12

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Double scale
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1.5x scale

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.