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Finding the Fourth Proportional to 1,332.81, 1,999.40 and 467.19

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Solution

The fourth proportional to 1,332.81, 1,999.40 and 467.19 is: 700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.81 : 1,999.40 = 467.19 : x
  2. Step 2: Convert to fraction form
    1,332.81/1,999.40 = 467.19/x
  3. Step 3: Cross multiply
    1,332.81x = 1,999.40 × 467.19
  4. Step 4: Simplify right side
    1,332.81x = 934,097.35
  5. Step 5: Solve for x
    x = 934,097.35/1,332.81
  6. Step 6: Final answer
    x = 700.85

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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.