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Finding the Fourth Proportional to 866.12, 1,297.14 and 751.50

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Solution

The fourth proportional to 866.12, 1,297.14 and 751.50 is: 1,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.12 : 1,297.14 = 751.50 : x
  2. Step 2: Convert to fraction form
    866.12/1,297.14 = 751.50/x
  3. Step 3: Cross multiply
    866.12x = 1,297.14 × 751.50
  4. Step 4: Simplify right side
    866.12x = 974,800.71
  5. Step 5: Solve for x
    x = 974,800.71/866.12
  6. Step 6: Final answer
    x = 1,125.49

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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.