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Finding the Fourth Proportional to 907.10, 1,353.01 and 827.52

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Solution

The fourth proportional to 907.10, 1,353.01 and 827.52 is: 1,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.10 : 1,353.01 = 827.52 : x
  2. Step 2: Convert to fraction form
    907.10/1,353.01 = 827.52/x
  3. Step 3: Cross multiply
    907.10x = 1,353.01 × 827.52
  4. Step 4: Simplify right side
    907.10x = 1,119,642.84
  5. Step 5: Solve for x
    x = 1,119,642.84/907.10
  6. Step 6: Final answer
    x = 1,234.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.