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Finding the Fourth Proportional to 1,478.54, 2,217.15 and 785.04

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Solution

The fourth proportional to 1,478.54, 2,217.15 and 785.04 is: 1,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.54 : 2,217.15 = 785.04 : x
  2. Step 2: Convert to fraction form
    1,478.54/2,217.15 = 785.04/x
  3. Step 3: Cross multiply
    1,478.54x = 2,217.15 × 785.04
  4. Step 4: Simplify right side
    1,478.54x = 1,740,551.44
  5. Step 5: Solve for x
    x = 1,740,551.44/1,478.54
  6. Step 6: Final answer
    x = 1,177.21

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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.