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Finding the Fourth Proportional to 907.96, 1,361.76 and 754.87

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Solution

The fourth proportional to 907.96, 1,361.76 and 754.87 is: 1,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.96 : 1,361.76 = 754.87 : x
  2. Step 2: Convert to fraction form
    907.96/1,361.76 = 754.87/x
  3. Step 3: Cross multiply
    907.96x = 1,361.76 × 754.87
  4. Step 4: Simplify right side
    907.96x = 1,027,952.34
  5. Step 5: Solve for x
    x = 1,027,952.34/907.96
  6. Step 6: Final answer
    x = 1,132.16

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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.