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Finding the Fourth Proportional to 1,332.04, 1,997.58 and 467.08

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Solution

The fourth proportional to 1,332.04, 1,997.58 and 467.08 is: 700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.04 : 1,997.58 = 467.08 : x
  2. Step 2: Convert to fraction form
    1,332.04/1,997.58 = 467.08/x
  3. Step 3: Cross multiply
    1,332.04x = 1,997.58 × 467.08
  4. Step 4: Simplify right side
    1,332.04x = 933,029.67
  5. Step 5: Solve for x
    x = 933,029.67/1,332.04
  6. Step 6: Final answer
    x = 700.45

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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.