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Finding the Fourth Proportional to 1,167.08, 1,750.52 and 345.26

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Solution

The fourth proportional to 1,167.08, 1,750.52 and 345.26 is: 517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.08 : 1,750.52 = 345.26 : x
  2. Step 2: Convert to fraction form
    1,167.08/1,750.52 = 345.26/x
  3. Step 3: Cross multiply
    1,167.08x = 1,750.52 × 345.26
  4. Step 4: Simplify right side
    1,167.08x = 604,384.54
  5. Step 5: Solve for x
    x = 604,384.54/1,167.08
  6. Step 6: Final answer
    x = 517.86

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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.