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Finding the Fourth Proportional to 902.29, 1,350.69 and 577.89

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Solution

The fourth proportional to 902.29, 1,350.69 and 577.89 is: 865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.29 : 1,350.69 = 577.89 : x
  2. Step 2: Convert to fraction form
    902.29/1,350.69 = 577.89/x
  3. Step 3: Cross multiply
    902.29x = 1,350.69 × 577.89
  4. Step 4: Simplify right side
    902.29x = 780,550.24
  5. Step 5: Solve for x
    x = 780,550.24/902.29
  6. Step 6: Final answer
    x = 865.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.