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Finding the Fourth Proportional to 636.40, 949.01 and 585.91

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Solution

The fourth proportional to 636.40, 949.01 and 585.91 is: 873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.40 : 949.01 = 585.91 : x
  2. Step 2: Convert to fraction form
    636.40/949.01 = 585.91/x
  3. Step 3: Cross multiply
    636.40x = 949.01 × 585.91
  4. Step 4: Simplify right side
    636.40x = 556,032.71
  5. Step 5: Solve for x
    x = 556,032.71/636.40
  6. Step 6: Final answer
    x = 873.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.