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Finding the Fourth Proportional to 1,065.97, 1,598.67 and 675.39

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Solution

The fourth proportional to 1,065.97, 1,598.67 and 675.39 is: 1,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.97 : 1,598.67 = 675.39 : x
  2. Step 2: Convert to fraction form
    1,065.97/1,598.67 = 675.39/x
  3. Step 3: Cross multiply
    1,065.97x = 1,598.67 × 675.39
  4. Step 4: Simplify right side
    1,065.97x = 1,079,725.58
  5. Step 5: Solve for x
    x = 1,079,725.58/1,065.97
  6. Step 6: Final answer
    x = 1,012.90

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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.