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Finding the Fourth Proportional to 907.78, 1,361.30 and 491.11

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Solution

The fourth proportional to 907.78, 1,361.30 and 491.11 is: 736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.78 : 1,361.30 = 491.11 : x
  2. Step 2: Convert to fraction form
    907.78/1,361.30 = 491.11/x
  3. Step 3: Cross multiply
    907.78x = 1,361.30 × 491.11
  4. Step 4: Simplify right side
    907.78x = 668,548.04
  5. Step 5: Solve for x
    x = 668,548.04/907.78
  6. Step 6: Final answer
    x = 736.46

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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.