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Finding the Fourth Proportional to 785.30, 1,083.84 and 505.88

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Solution

The fourth proportional to 785.30, 1,083.84 and 505.88 is: 698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.30 : 1,083.84 = 505.88 : x
  2. Step 2: Convert to fraction form
    785.30/1,083.84 = 505.88/x
  3. Step 3: Cross multiply
    785.30x = 1,083.84 × 505.88
  4. Step 4: Simplify right side
    785.30x = 548,292.98
  5. Step 5: Solve for x
    x = 548,292.98/785.30
  6. Step 6: Final answer
    x = 698.20

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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.