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Finding the Fourth Proportional to 1,306.58, 1,959.89 and 332.69

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Solution

The fourth proportional to 1,306.58, 1,959.89 and 332.69 is: 499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.58 : 1,959.89 = 332.69 : x
  2. Step 2: Convert to fraction form
    1,306.58/1,959.89 = 332.69/x
  3. Step 3: Cross multiply
    1,306.58x = 1,959.89 × 332.69
  4. Step 4: Simplify right side
    1,306.58x = 652,024.34
  5. Step 5: Solve for x
    x = 652,024.34/1,306.58
  6. Step 6: Final answer
    x = 499.03

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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.