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Finding the Fourth Proportional to 1,162.84, 1,604.72 and 638.88

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Solution

The fourth proportional to 1,162.84, 1,604.72 and 638.88 is: 881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.84 : 1,604.72 = 638.88 : x
  2. Step 2: Convert to fraction form
    1,162.84/1,604.72 = 638.88/x
  3. Step 3: Cross multiply
    1,162.84x = 1,604.72 × 638.88
  4. Step 4: Simplify right side
    1,162.84x = 1,025,223.51
  5. Step 5: Solve for x
    x = 1,025,223.51/1,162.84
  6. Step 6: Final answer
    x = 881.65

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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.