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Finding the Fourth Proportional to 907.74, 1,358.07 and 797.18

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Solution

The fourth proportional to 907.74, 1,358.07 and 797.18 is: 1,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.74 : 1,358.07 = 797.18 : x
  2. Step 2: Convert to fraction form
    907.74/1,358.07 = 797.18/x
  3. Step 3: Cross multiply
    907.74x = 1,358.07 × 797.18
  4. Step 4: Simplify right side
    907.74x = 1,082,622.85
  5. Step 5: Solve for x
    x = 1,082,622.85/907.74
  6. Step 6: Final answer
    x = 1,192.65

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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.