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Finding the Fourth Proportional to 1,488.69, 2,233.80 and 709.58

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Solution

The fourth proportional to 1,488.69, 2,233.80 and 709.58 is: 1,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.69 : 2,233.80 = 709.58 : x
  2. Step 2: Convert to fraction form
    1,488.69/2,233.80 = 709.58/x
  3. Step 3: Cross multiply
    1,488.69x = 2,233.80 × 709.58
  4. Step 4: Simplify right side
    1,488.69x = 1,585,048.64
  5. Step 5: Solve for x
    x = 1,585,048.64/1,488.69
  6. Step 6: Final answer
    x = 1,064.73

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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.