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Finding the Fourth Proportional to 698.79, 1,046.97 and 583.98

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Solution

The fourth proportional to 698.79, 1,046.97 and 583.98 is: 874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.79 : 1,046.97 = 583.98 : x
  2. Step 2: Convert to fraction form
    698.79/1,046.97 = 583.98/x
  3. Step 3: Cross multiply
    698.79x = 1,046.97 × 583.98
  4. Step 4: Simplify right side
    698.79x = 611,409.54
  5. Step 5: Solve for x
    x = 611,409.54/698.79
  6. Step 6: Final answer
    x = 874.95

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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.