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Finding the Fourth Proportional to 1,337.07, 1,844.67 and 839.53

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Solution

The fourth proportional to 1,337.07, 1,844.67 and 839.53 is: 1,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.07 : 1,844.67 = 839.53 : x
  2. Step 2: Convert to fraction form
    1,337.07/1,844.67 = 839.53/x
  3. Step 3: Cross multiply
    1,337.07x = 1,844.67 × 839.53
  4. Step 4: Simplify right side
    1,337.07x = 1,548,655.81
  5. Step 5: Solve for x
    x = 1,548,655.81/1,337.07
  6. Step 6: Final answer
    x = 1,158.25

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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.