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Finding the Fourth Proportional to 1,478.63, 2,217.77 and 382.91

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Solution

The fourth proportional to 1,478.63, 2,217.77 and 382.91 is: 574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.63 : 2,217.77 = 382.91 : x
  2. Step 2: Convert to fraction form
    1,478.63/2,217.77 = 382.91/x
  3. Step 3: Cross multiply
    1,478.63x = 2,217.77 × 382.91
  4. Step 4: Simplify right side
    1,478.63x = 849,206.31
  5. Step 5: Solve for x
    x = 849,206.31/1,478.63
  6. Step 6: Final answer
    x = 574.32

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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.