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Finding the Fourth Proportional to 1,332.13, 1,997.25 and 509.71

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Solution

The fourth proportional to 1,332.13, 1,997.25 and 509.71 is: 764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.13 : 1,997.25 = 509.71 : x
  2. Step 2: Convert to fraction form
    1,332.13/1,997.25 = 509.71/x
  3. Step 3: Cross multiply
    1,332.13x = 1,997.25 × 509.71
  4. Step 4: Simplify right side
    1,332.13x = 1,018,018.30
  5. Step 5: Solve for x
    x = 1,018,018.30/1,332.13
  6. Step 6: Final answer
    x = 764.20

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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.