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Finding the Fourth Proportional to 1,507.23, 2,079.92 and 825.86

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Solution

The fourth proportional to 1,507.23, 2,079.92 and 825.86 is: 1,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.23 : 2,079.92 = 825.86 : x
  2. Step 2: Convert to fraction form
    1,507.23/2,079.92 = 825.86/x
  3. Step 3: Cross multiply
    1,507.23x = 2,079.92 × 825.86
  4. Step 4: Simplify right side
    1,507.23x = 1,717,730.00
  5. Step 5: Solve for x
    x = 1,717,730.00/1,507.23
  6. Step 6: Final answer
    x = 1,139.66

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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.