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Finding the Fourth Proportional to 698.85, 1,048.95 and 425.48

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Solution

The fourth proportional to 698.85, 1,048.95 and 425.48 is: 638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.85 : 1,048.95 = 425.48 : x
  2. Step 2: Convert to fraction form
    698.85/1,048.95 = 425.48/x
  3. Step 3: Cross multiply
    698.85x = 1,048.95 × 425.48
  4. Step 4: Simplify right side
    698.85x = 446,302.00
  5. Step 5: Solve for x
    x = 446,302.00/698.85
  6. Step 6: Final answer
    x = 638.62

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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.