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Finding the Fourth Proportional to 1,330.65, 1,836.32 and 741.17

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Solution

The fourth proportional to 1,330.65, 1,836.32 and 741.17 is: 1,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.65 : 1,836.32 = 741.17 : x
  2. Step 2: Convert to fraction form
    1,330.65/1,836.32 = 741.17/x
  3. Step 3: Cross multiply
    1,330.65x = 1,836.32 × 741.17
  4. Step 4: Simplify right side
    1,330.65x = 1,361,012.41
  5. Step 5: Solve for x
    x = 1,361,012.41/1,330.65
  6. Step 6: Final answer
    x = 1,022.82

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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.