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Finding the Fourth Proportional to 899.06, 1,240.76 and 500.75

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Solution

The fourth proportional to 899.06, 1,240.76 and 500.75 is: 691.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.06 : 1,240.76 = 500.75 : x
  2. Step 2: Convert to fraction form
    899.06/1,240.76 = 500.75/x
  3. Step 3: Cross multiply
    899.06x = 1,240.76 × 500.75
  4. Step 4: Simplify right side
    899.06x = 621,301.86
  5. Step 5: Solve for x
    x = 621,301.86/899.06
  6. Step 6: Final answer
    x = 691.06

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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.