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Finding the Fourth Proportional to 1,478.61, 2,217.88 and 382.94

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Solution

The fourth proportional to 1,478.61, 2,217.88 and 382.94 is: 574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.61 : 2,217.88 = 382.94 : x
  2. Step 2: Convert to fraction form
    1,478.61/2,217.88 = 382.94/x
  3. Step 3: Cross multiply
    1,478.61x = 2,217.88 × 382.94
  4. Step 4: Simplify right side
    1,478.61x = 849,302.92
  5. Step 5: Solve for x
    x = 849,302.92/1,478.61
  6. Step 6: Final answer
    x = 574.39

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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.