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Finding the Fourth Proportional to 1,339.04, 2,004.70 and 782.07

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Solution

The fourth proportional to 1,339.04, 2,004.70 and 782.07 is: 1,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.04 : 2,004.70 = 782.07 : x
  2. Step 2: Convert to fraction form
    1,339.04/2,004.70 = 782.07/x
  3. Step 3: Cross multiply
    1,339.04x = 2,004.70 × 782.07
  4. Step 4: Simplify right side
    1,339.04x = 1,567,815.73
  5. Step 5: Solve for x
    x = 1,567,815.73/1,339.04
  6. Step 6: Final answer
    x = 1,170.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.