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Finding the Fourth Proportional to 1,068.36, 1,474.49 and 648.88

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Solution

The fourth proportional to 1,068.36, 1,474.49 and 648.88 is: 895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.36 : 1,474.49 = 648.88 : x
  2. Step 2: Convert to fraction form
    1,068.36/1,474.49 = 648.88/x
  3. Step 3: Cross multiply
    1,068.36x = 1,474.49 × 648.88
  4. Step 4: Simplify right side
    1,068.36x = 956,767.07
  5. Step 5: Solve for x
    x = 956,767.07/1,068.36
  6. Step 6: Final answer
    x = 895.55

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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.