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Finding the Fourth Proportional to 1,171.82, 1,765.78 and 970.90

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Solution

The fourth proportional to 1,171.82, 1,765.78 and 970.90 is: 1,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.82 : 1,765.78 = 970.90 : x
  2. Step 2: Convert to fraction form
    1,171.82/1,765.78 = 970.90/x
  3. Step 3: Cross multiply
    1,171.82x = 1,765.78 × 970.90
  4. Step 4: Simplify right side
    1,171.82x = 1,714,395.80
  5. Step 5: Solve for x
    x = 1,714,395.80/1,171.82
  6. Step 6: Final answer
    x = 1,463.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.