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Finding the Fourth Proportional to 1,217.16, 1,823.16 and 638.84

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Solution

The fourth proportional to 1,217.16, 1,823.16 and 638.84 is: 956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.16 : 1,823.16 = 638.84 : x
  2. Step 2: Convert to fraction form
    1,217.16/1,823.16 = 638.84/x
  3. Step 3: Cross multiply
    1,217.16x = 1,823.16 × 638.84
  4. Step 4: Simplify right side
    1,217.16x = 1,164,707.53
  5. Step 5: Solve for x
    x = 1,164,707.53/1,217.16
  6. Step 6: Final answer
    x = 956.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.