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Finding the Fourth Proportional to 698.07, 1,047.71 and 454.86

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Solution

The fourth proportional to 698.07, 1,047.71 and 454.86 is: 682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.07 : 1,047.71 = 454.86 : x
  2. Step 2: Convert to fraction form
    698.07/1,047.71 = 454.86/x
  3. Step 3: Cross multiply
    698.07x = 1,047.71 × 454.86
  4. Step 4: Simplify right side
    698.07x = 476,561.72
  5. Step 5: Solve for x
    x = 476,561.72/698.07
  6. Step 6: Final answer
    x = 682.69

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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.