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Finding the Fourth Proportional to 1,247.82, 1,872.13 and 598.20

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Solution

The fourth proportional to 1,247.82, 1,872.13 and 598.20 is: 897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.82 : 1,872.13 = 598.20 : x
  2. Step 2: Convert to fraction form
    1,247.82/1,872.13 = 598.20/x
  3. Step 3: Cross multiply
    1,247.82x = 1,872.13 × 598.20
  4. Step 4: Simplify right side
    1,247.82x = 1,119,908.17
  5. Step 5: Solve for x
    x = 1,119,908.17/1,247.82
  6. Step 6: Final answer
    x = 897.49

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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.