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Finding the Fourth Proportional to 1,339.30, 2,009.52 and 722.86

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Solution

The fourth proportional to 1,339.30, 2,009.52 and 722.86 is: 1,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.30 : 2,009.52 = 722.86 : x
  2. Step 2: Convert to fraction form
    1,339.30/2,009.52 = 722.86/x
  3. Step 3: Cross multiply
    1,339.30x = 2,009.52 × 722.86
  4. Step 4: Simplify right side
    1,339.30x = 1,452,601.63
  5. Step 5: Solve for x
    x = 1,452,601.63/1,339.30
  6. Step 6: Final answer
    x = 1,084.60

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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.