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Finding the Fourth Proportional to 1,332.24, 1,998.62 and 467.16

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Solution

The fourth proportional to 1,332.24, 1,998.62 and 467.16 is: 700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.24 : 1,998.62 = 467.16 : x
  2. Step 2: Convert to fraction form
    1,332.24/1,998.62 = 467.16/x
  3. Step 3: Cross multiply
    1,332.24x = 1,998.62 × 467.16
  4. Step 4: Simplify right side
    1,332.24x = 933,675.32
  5. Step 5: Solve for x
    x = 933,675.32/1,332.24
  6. Step 6: Final answer
    x = 700.83

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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.