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Finding the Fourth Proportional to 927.40, 1,277.22 and 907.24

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Solution

The fourth proportional to 927.40, 1,277.22 and 907.24 is: 1,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.40 : 1,277.22 = 907.24 : x
  2. Step 2: Convert to fraction form
    927.40/1,277.22 = 907.24/x
  3. Step 3: Cross multiply
    927.40x = 1,277.22 × 907.24
  4. Step 4: Simplify right side
    927.40x = 1,158,745.07
  5. Step 5: Solve for x
    x = 1,158,745.07/927.40
  6. Step 6: Final answer
    x = 1,249.46

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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.