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Finding the Fourth Proportional to 907.47, 1,361.31 and 782.85

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Solution

The fourth proportional to 907.47, 1,361.31 and 782.85 is: 1,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.47 : 1,361.31 = 782.85 : x
  2. Step 2: Convert to fraction form
    907.47/1,361.31 = 782.85/x
  3. Step 3: Cross multiply
    907.47x = 1,361.31 × 782.85
  4. Step 4: Simplify right side
    907.47x = 1,065,701.53
  5. Step 5: Solve for x
    x = 1,065,701.53/907.47
  6. Step 6: Final answer
    x = 1,174.37

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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.