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Finding the Fourth Proportional to 1,246.84, 1,869.71 and 380.95

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Solution

The fourth proportional to 1,246.84, 1,869.71 and 380.95 is: 571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.84 : 1,869.71 = 380.95 : x
  2. Step 2: Convert to fraction form
    1,246.84/1,869.71 = 380.95/x
  3. Step 3: Cross multiply
    1,246.84x = 1,869.71 × 380.95
  4. Step 4: Simplify right side
    1,246.84x = 712,259.45
  5. Step 5: Solve for x
    x = 712,259.45/1,246.84
  6. Step 6: Final answer
    x = 571.25

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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.