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Finding the Fourth Proportional to 1,164.88, 1,747.32 and 299.13

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Solution

The fourth proportional to 1,164.88, 1,747.32 and 299.13 is: 448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.88 : 1,747.32 = 299.13 : x
  2. Step 2: Convert to fraction form
    1,164.88/1,747.32 = 299.13/x
  3. Step 3: Cross multiply
    1,164.88x = 1,747.32 × 299.13
  4. Step 4: Simplify right side
    1,164.88x = 522,675.83
  5. Step 5: Solve for x
    x = 522,675.83/1,164.88
  6. Step 6: Final answer
    x = 448.70

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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.