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Finding the Fourth Proportional to 785.85, 1,084.77 and 491.19

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Solution

The fourth proportional to 785.85, 1,084.77 and 491.19 is: 678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.85 : 1,084.77 = 491.19 : x
  2. Step 2: Convert to fraction form
    785.85/1,084.77 = 491.19/x
  3. Step 3: Cross multiply
    785.85x = 1,084.77 × 491.19
  4. Step 4: Simplify right side
    785.85x = 532,828.18
  5. Step 5: Solve for x
    x = 532,828.18/785.85
  6. Step 6: Final answer
    x = 678.03

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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.