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Finding the Fourth Proportional to 1,014.67, 1,400.12 and 572.50

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Solution

The fourth proportional to 1,014.67, 1,400.12 and 572.50 is: 789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.67 : 1,400.12 = 572.50 : x
  2. Step 2: Convert to fraction form
    1,014.67/1,400.12 = 572.50/x
  3. Step 3: Cross multiply
    1,014.67x = 1,400.12 × 572.50
  4. Step 4: Simplify right side
    1,014.67x = 801,561.86
  5. Step 5: Solve for x
    x = 801,561.86/1,014.67
  6. Step 6: Final answer
    x = 789.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.