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Finding the Fourth Proportional to 907.94, 1,361.79 and 291.65

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Solution

The fourth proportional to 907.94, 1,361.79 and 291.65 is: 437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.94 : 1,361.79 = 291.65 : x
  2. Step 2: Convert to fraction form
    907.94/1,361.79 = 291.65/x
  3. Step 3: Cross multiply
    907.94x = 1,361.79 × 291.65
  4. Step 4: Simplify right side
    907.94x = 397,159.24
  5. Step 5: Solve for x
    x = 397,159.24/907.94
  6. Step 6: Final answer
    x = 437.43

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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.