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Finding the Fourth Proportional to 1,382.84, 1,908.36 and 753.40

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Solution

The fourth proportional to 1,382.84, 1,908.36 and 753.40 is: 1,039.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.84 : 1,908.36 = 753.40 : x
  2. Step 2: Convert to fraction form
    1,382.84/1,908.36 = 753.40/x
  3. Step 3: Cross multiply
    1,382.84x = 1,908.36 × 753.40
  4. Step 4: Simplify right side
    1,382.84x = 1,437,760.81
  5. Step 5: Solve for x
    x = 1,437,760.81/1,382.84
  6. Step 6: Final answer
    x = 1,039.72

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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.