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Finding the Fourth Proportional to 715.83, 1,072.12 and 426.66

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Solution

The fourth proportional to 715.83, 1,072.12 and 426.66 is: 639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.83 : 1,072.12 = 426.66 : x
  2. Step 2: Convert to fraction form
    715.83/1,072.12 = 426.66/x
  3. Step 3: Cross multiply
    715.83x = 1,072.12 × 426.66
  4. Step 4: Simplify right side
    715.83x = 457,430.72
  5. Step 5: Solve for x
    x = 457,430.72/715.83
  6. Step 6: Final answer
    x = 639.02

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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.