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Finding the Fourth Proportional to 1,709.66, 2,358.23 and 1,079.07

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Solution

The fourth proportional to 1,709.66, 2,358.23 and 1,079.07 is: 1,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.66 : 2,358.23 = 1,079.07 : x
  2. Step 2: Convert to fraction form
    1,709.66/2,358.23 = 1,079.07/x
  3. Step 3: Cross multiply
    1,709.66x = 2,358.23 × 1,079.07
  4. Step 4: Simplify right side
    1,709.66x = 2,544,689.85
  5. Step 5: Solve for x
    x = 2,544,689.85/1,709.66
  6. Step 6: Final answer
    x = 1,488.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.