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Finding the Fourth Proportional to 1,247.84, 1,872.48 and 468.38

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Solution

The fourth proportional to 1,247.84, 1,872.48 and 468.38 is: 702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.84 : 1,872.48 = 468.38 : x
  2. Step 2: Convert to fraction form
    1,247.84/1,872.48 = 468.38/x
  3. Step 3: Cross multiply
    1,247.84x = 1,872.48 × 468.38
  4. Step 4: Simplify right side
    1,247.84x = 877,036.86
  5. Step 5: Solve for x
    x = 877,036.86/1,247.84
  6. Step 6: Final answer
    x = 702.85

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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.