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Finding the Fourth Proportional to 1,171.66, 1,758.40 and 709.96

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Solution

The fourth proportional to 1,171.66, 1,758.40 and 709.96 is: 1,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.66 : 1,758.40 = 709.96 : x
  2. Step 2: Convert to fraction form
    1,171.66/1,758.40 = 709.96/x
  3. Step 3: Cross multiply
    1,171.66x = 1,758.40 × 709.96
  4. Step 4: Simplify right side
    1,171.66x = 1,248,393.66
  5. Step 5: Solve for x
    x = 1,248,393.66/1,171.66
  6. Step 6: Final answer
    x = 1,065.49

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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.