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Finding the Fourth Proportional to 1,087.14, 1,500.36 and 667.38

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Solution

The fourth proportional to 1,087.14, 1,500.36 and 667.38 is: 921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.14 : 1,500.36 = 667.38 : x
  2. Step 2: Convert to fraction form
    1,087.14/1,500.36 = 667.38/x
  3. Step 3: Cross multiply
    1,087.14x = 1,500.36 × 667.38
  4. Step 4: Simplify right side
    1,087.14x = 1,001,310.26
  5. Step 5: Solve for x
    x = 1,001,310.26/1,087.14
  6. Step 6: Final answer
    x = 921.05

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1.5x scale

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.