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Finding the Fourth Proportional to 1,167.96, 1,751.35 and 346.13

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Solution

The fourth proportional to 1,167.96, 1,751.35 and 346.13 is: 519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.96 : 1,751.35 = 346.13 : x
  2. Step 2: Convert to fraction form
    1,167.96/1,751.35 = 346.13/x
  3. Step 3: Cross multiply
    1,167.96x = 1,751.35 × 346.13
  4. Step 4: Simplify right side
    1,167.96x = 606,194.78
  5. Step 5: Solve for x
    x = 606,194.78/1,167.96
  6. Step 6: Final answer
    x = 519.02

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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.