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Finding the Fourth Proportional to 636.68, 870.66 and 636.68

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Solution

The fourth proportional to 636.68, 870.66 and 636.68 is: 870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.68 : 870.66 = 636.68 : x
  2. Step 2: Convert to fraction form
    636.68/870.66 = 636.68/x
  3. Step 3: Cross multiply
    636.68x = 870.66 × 636.68
  4. Step 4: Simplify right side
    636.68x = 554,333.99
  5. Step 5: Solve for x
    x = 554,333.99/636.68
  6. Step 6: Final answer
    x = 870.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.