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Finding the Fourth Proportional to 1,507.09, 2,079.71 and 834.86

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Solution

The fourth proportional to 1,507.09, 2,079.71 and 834.86 is: 1,152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.09 : 2,079.71 = 834.86 : x
  2. Step 2: Convert to fraction form
    1,507.09/2,079.71 = 834.86/x
  3. Step 3: Cross multiply
    1,507.09x = 2,079.71 × 834.86
  4. Step 4: Simplify right side
    1,507.09x = 1,736,252.12
  5. Step 5: Solve for x
    x = 1,736,252.12/1,507.09
  6. Step 6: Final answer
    x = 1,152.06

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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.