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Finding the Fourth Proportional to 1,167.69, 1,751.57 and 334.88

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Solution

The fourth proportional to 1,167.69, 1,751.57 and 334.88 is: 502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.69 : 1,751.57 = 334.88 : x
  2. Step 2: Convert to fraction form
    1,167.69/1,751.57 = 334.88/x
  3. Step 3: Cross multiply
    1,167.69x = 1,751.57 × 334.88
  4. Step 4: Simplify right side
    1,167.69x = 586,565.76
  5. Step 5: Solve for x
    x = 586,565.76/1,167.69
  6. Step 6: Final answer
    x = 502.33

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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.