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Finding the Fourth Proportional to 1,330.75, 1,836.85 and 910.95

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Solution

The fourth proportional to 1,330.75, 1,836.85 and 910.95 is: 1,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.75 : 1,836.85 = 910.95 : x
  2. Step 2: Convert to fraction form
    1,330.75/1,836.85 = 910.95/x
  3. Step 3: Cross multiply
    1,330.75x = 1,836.85 × 910.95
  4. Step 4: Simplify right side
    1,330.75x = 1,673,278.51
  5. Step 5: Solve for x
    x = 1,673,278.51/1,330.75
  6. Step 6: Final answer
    x = 1,257.40

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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.