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Finding the Fourth Proportional to 698.42, 1,047.87 and 373.57

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Solution

The fourth proportional to 698.42, 1,047.87 and 373.57 is: 560.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.42 : 1,047.87 = 373.57 : x
  2. Step 2: Convert to fraction form
    698.42/1,047.87 = 373.57/x
  3. Step 3: Cross multiply
    698.42x = 1,047.87 × 373.57
  4. Step 4: Simplify right side
    698.42x = 391,452.80
  5. Step 5: Solve for x
    x = 391,452.80/698.42
  6. Step 6: Final answer
    x = 560.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.