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Finding the Fourth Proportional to 1,367.24, 2,052.75 and 709.58

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Solution

The fourth proportional to 1,367.24, 2,052.75 and 709.58 is: 1,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.24 : 2,052.75 = 709.58 : x
  2. Step 2: Convert to fraction form
    1,367.24/2,052.75 = 709.58/x
  3. Step 3: Cross multiply
    1,367.24x = 2,052.75 × 709.58
  4. Step 4: Simplify right side
    1,367.24x = 1,456,580.08
  5. Step 5: Solve for x
    x = 1,456,580.08/1,367.24
  6. Step 6: Final answer
    x = 1,065.35

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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.