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Finding the Fourth Proportional to 1,336.12, 1,844.64 and 839.18

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Solution

The fourth proportional to 1,336.12, 1,844.64 and 839.18 is: 1,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.12 : 1,844.64 = 839.18 : x
  2. Step 2: Convert to fraction form
    1,336.12/1,844.64 = 839.18/x
  3. Step 3: Cross multiply
    1,336.12x = 1,844.64 × 839.18
  4. Step 4: Simplify right side
    1,336.12x = 1,547,989.61
  5. Step 5: Solve for x
    x = 1,547,989.61/1,336.12
  6. Step 6: Final answer
    x = 1,158.57

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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.