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Finding the Fourth Proportional to 899.24, 1,240.82 and 500.87

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Solution

The fourth proportional to 899.24, 1,240.82 and 500.87 is: 691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.24 : 1,240.82 = 500.87 : x
  2. Step 2: Convert to fraction form
    899.24/1,240.82 = 500.87/x
  3. Step 3: Cross multiply
    899.24x = 1,240.82 × 500.87
  4. Step 4: Simplify right side
    899.24x = 621,480.80
  5. Step 5: Solve for x
    x = 621,480.80/899.24
  6. Step 6: Final answer
    x = 691.12

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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.