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Finding the Fourth Proportional to 785.98, 1,084.15 and 491.19

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Solution

The fourth proportional to 785.98, 1,084.15 and 491.19 is: 677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.98 : 1,084.15 = 491.19 : x
  2. Step 2: Convert to fraction form
    785.98/1,084.15 = 491.19/x
  3. Step 3: Cross multiply
    785.98x = 1,084.15 × 491.19
  4. Step 4: Simplify right side
    785.98x = 532,523.64
  5. Step 5: Solve for x
    x = 532,523.64/785.98
  6. Step 6: Final answer
    x = 677.53

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Half scale
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Double scale
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1.5x scale

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.