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Finding the Fourth Proportional to 901.29, 1,349.20 and 576.89

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Solution

The fourth proportional to 901.29, 1,349.20 and 576.89 is: 863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.29 : 1,349.20 = 576.89 : x
  2. Step 2: Convert to fraction form
    901.29/1,349.20 = 576.89/x
  3. Step 3: Cross multiply
    901.29x = 1,349.20 × 576.89
  4. Step 4: Simplify right side
    901.29x = 778,330.36
  5. Step 5: Solve for x
    x = 778,330.36/901.29
  6. Step 6: Final answer
    x = 863.57

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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.