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Finding the Fourth Proportional to 1,332.88, 1,999.68 and 467.20

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Solution

The fourth proportional to 1,332.88, 1,999.68 and 467.20 is: 700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.88 : 1,999.68 = 467.20 : x
  2. Step 2: Convert to fraction form
    1,332.88/1,999.68 = 467.20/x
  3. Step 3: Cross multiply
    1,332.88x = 1,999.68 × 467.20
  4. Step 4: Simplify right side
    1,332.88x = 934,250.50
  5. Step 5: Solve for x
    x = 934,250.50/1,332.88
  6. Step 6: Final answer
    x = 700.93

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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.