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Finding the Fourth Proportional to 1,380.24, 1,904.49 and 782.73

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Solution

The fourth proportional to 1,380.24, 1,904.49 and 782.73 is: 1,080.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.24 : 1,904.49 = 782.73 : x
  2. Step 2: Convert to fraction form
    1,380.24/1,904.49 = 782.73/x
  3. Step 3: Cross multiply
    1,380.24x = 1,904.49 × 782.73
  4. Step 4: Simplify right side
    1,380.24x = 1,490,701.46
  5. Step 5: Solve for x
    x = 1,490,701.46/1,380.24
  6. Step 6: Final answer
    x = 1,080.03

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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.