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Finding the Fourth Proportional to 1,167.78, 1,751.51 and 334.78

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Solution

The fourth proportional to 1,167.78, 1,751.51 and 334.78 is: 502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.78 : 1,751.51 = 334.78 : x
  2. Step 2: Convert to fraction form
    1,167.78/1,751.51 = 334.78/x
  3. Step 3: Cross multiply
    1,167.78x = 1,751.51 × 334.78
  4. Step 4: Simplify right side
    1,167.78x = 586,364.47
  5. Step 5: Solve for x
    x = 586,364.47/1,167.78
  6. Step 6: Final answer
    x = 502.12

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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.