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Finding the Fourth Proportional to 1,380, 1,904.52 and 759.12

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Solution

The fourth proportional to 1,380, 1,904.52 and 759.12 is: 1,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380 : 1,904.52 = 759.12 : x
  2. Step 2: Convert to fraction form
    1,380/1,904.52 = 759.12/x
  3. Step 3: Cross multiply
    1,380x = 1,904.52 × 759.12
  4. Step 4: Simplify right side
    1,380x = 1,445,759.22
  5. Step 5: Solve for x
    x = 1,445,759.22/1,380
  6. Step 6: Final answer
    x = 1,047.65

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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.