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Finding the Fourth Proportional to 1,246.38, 1,868.99 and 368.57

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Solution

The fourth proportional to 1,246.38, 1,868.99 and 368.57 is: 552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.38 : 1,868.99 = 368.57 : x
  2. Step 2: Convert to fraction form
    1,246.38/1,868.99 = 368.57/x
  3. Step 3: Cross multiply
    1,246.38x = 1,868.99 × 368.57
  4. Step 4: Simplify right side
    1,246.38x = 688,843.61
  5. Step 5: Solve for x
    x = 688,843.61/1,246.38
  6. Step 6: Final answer
    x = 552.68

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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.