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Finding the Fourth Proportional to 1,334.66, 2,002.11 and 347.47

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Solution

The fourth proportional to 1,334.66, 2,002.11 and 347.47 is: 521.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.66 : 2,002.11 = 347.47 : x
  2. Step 2: Convert to fraction form
    1,334.66/2,002.11 = 347.47/x
  3. Step 3: Cross multiply
    1,334.66x = 2,002.11 × 347.47
  4. Step 4: Simplify right side
    1,334.66x = 695,673.16
  5. Step 5: Solve for x
    x = 695,673.16/1,334.66
  6. Step 6: Final answer
    x = 521.24

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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.