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Finding the Fourth Proportional to 907.50, 1,360.41 and 827.34

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Solution

The fourth proportional to 907.50, 1,360.41 and 827.34 is: 1,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.50 : 1,360.41 = 827.34 : x
  2. Step 2: Convert to fraction form
    907.50/1,360.41 = 827.34/x
  3. Step 3: Cross multiply
    907.50x = 1,360.41 × 827.34
  4. Step 4: Simplify right side
    907.50x = 1,125,521.61
  5. Step 5: Solve for x
    x = 1,125,521.61/907.50
  6. Step 6: Final answer
    x = 1,240.24

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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.