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Finding the Fourth Proportional to 907.75, 1,252.26 and 593.12

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Solution

The fourth proportional to 907.75, 1,252.26 and 593.12 is: 818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.75 : 1,252.26 = 593.12 : x
  2. Step 2: Convert to fraction form
    907.75/1,252.26 = 593.12/x
  3. Step 3: Cross multiply
    907.75x = 1,252.26 × 593.12
  4. Step 4: Simplify right side
    907.75x = 742,731.22
  5. Step 5: Solve for x
    x = 742,731.22/907.75
  6. Step 6: Final answer
    x = 818.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.