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Finding the Fourth Proportional to 1,167.58, 1,751.34 and 345.82

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Solution

The fourth proportional to 1,167.58, 1,751.34 and 345.82 is: 518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.58 : 1,751.34 = 345.82 : x
  2. Step 2: Convert to fraction form
    1,167.58/1,751.34 = 345.82/x
  3. Step 3: Cross multiply
    1,167.58x = 1,751.34 × 345.82
  4. Step 4: Simplify right side
    1,167.58x = 605,648.40
  5. Step 5: Solve for x
    x = 605,648.40/1,167.58
  6. Step 6: Final answer
    x = 518.72

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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.