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Finding the Fourth Proportional to 907.62, 1,359.27 and 762.90

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Solution

The fourth proportional to 907.62, 1,359.27 and 762.90 is: 1,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.62 : 1,359.27 = 762.90 : x
  2. Step 2: Convert to fraction form
    907.62/1,359.27 = 762.90/x
  3. Step 3: Cross multiply
    907.62x = 1,359.27 × 762.90
  4. Step 4: Simplify right side
    907.62x = 1,036,987.08
  5. Step 5: Solve for x
    x = 1,036,987.08/907.62
  6. Step 6: Final answer
    x = 1,142.53

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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.