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Finding the Fourth Proportional to 1,170.89, 1,756.34 and 293.39

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Solution

The fourth proportional to 1,170.89, 1,756.34 and 293.39 is: 440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.89 : 1,756.34 = 293.39 : x
  2. Step 2: Convert to fraction form
    1,170.89/1,756.34 = 293.39/x
  3. Step 3: Cross multiply
    1,170.89x = 1,756.34 × 293.39
  4. Step 4: Simplify right side
    1,170.89x = 515,282.34
  5. Step 5: Solve for x
    x = 515,282.34/1,170.89
  6. Step 6: Final answer
    x = 440.08

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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.