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Finding the Fourth Proportional to 785.86, 1,084.48 and 454.28

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Solution

The fourth proportional to 785.86, 1,084.48 and 454.28 is: 626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.86 : 1,084.48 = 454.28 : x
  2. Step 2: Convert to fraction form
    785.86/1,084.48 = 454.28/x
  3. Step 3: Cross multiply
    785.86x = 1,084.48 × 454.28
  4. Step 4: Simplify right side
    785.86x = 492,657.57
  5. Step 5: Solve for x
    x = 492,657.57/785.86
  6. Step 6: Final answer
    x = 626.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.