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Finding the Fourth Proportional to 674.89, 1,013.86 and 582.62

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Solution

The fourth proportional to 674.89, 1,013.86 and 582.62 is: 875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.89 : 1,013.86 = 582.62 : x
  2. Step 2: Convert to fraction form
    674.89/1,013.86 = 582.62/x
  3. Step 3: Cross multiply
    674.89x = 1,013.86 × 582.62
  4. Step 4: Simplify right side
    674.89x = 590,695.11
  5. Step 5: Solve for x
    x = 590,695.11/674.89
  6. Step 6: Final answer
    x = 875.25

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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.