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Finding the Fourth Proportional to 1,332.39, 1,999.49 and 466.70

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Solution

The fourth proportional to 1,332.39, 1,999.49 and 466.70 is: 700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.39 : 1,999.49 = 466.70 : x
  2. Step 2: Convert to fraction form
    1,332.39/1,999.49 = 466.70/x
  3. Step 3: Cross multiply
    1,332.39x = 1,999.49 × 466.70
  4. Step 4: Simplify right side
    1,332.39x = 933,161.98
  5. Step 5: Solve for x
    x = 933,161.98/1,332.39
  6. Step 6: Final answer
    x = 700.37

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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.