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Finding the Fourth Proportional to 907.24, 1,253.22 and 830.44

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Solution

The fourth proportional to 907.24, 1,253.22 and 830.44 is: 1,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.24 : 1,253.22 = 830.44 : x
  2. Step 2: Convert to fraction form
    907.24/1,253.22 = 830.44/x
  3. Step 3: Cross multiply
    907.24x = 1,253.22 × 830.44
  4. Step 4: Simplify right side
    907.24x = 1,040,724.02
  5. Step 5: Solve for x
    x = 1,040,724.02/907.24
  6. Step 6: Final answer
    x = 1,147.13

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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.