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Finding the Fourth Proportional to 785.80, 1,084.54 and 454.17

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Solution

The fourth proportional to 785.80, 1,084.54 and 454.17 is: 626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.80 : 1,084.54 = 454.17 : x
  2. Step 2: Convert to fraction form
    785.80/1,084.54 = 454.17/x
  3. Step 3: Cross multiply
    785.80x = 1,084.54 × 454.17
  4. Step 4: Simplify right side
    785.80x = 492,565.53
  5. Step 5: Solve for x
    x = 492,565.53/785.80
  6. Step 6: Final answer
    x = 626.83

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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.