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Finding the Fourth Proportional to 698.82, 1,048.86 and 374.46

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Solution

The fourth proportional to 698.82, 1,048.86 and 374.46 is: 562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.82 : 1,048.86 = 374.46 : x
  2. Step 2: Convert to fraction form
    698.82/1,048.86 = 374.46/x
  3. Step 3: Cross multiply
    698.82x = 1,048.86 × 374.46
  4. Step 4: Simplify right side
    698.82x = 392,756.12
  5. Step 5: Solve for x
    x = 392,756.12/698.82
  6. Step 6: Final answer
    x = 562.03

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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.