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Finding the Fourth Proportional to 907.63, 1,252.22 and 627.76

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Solution

The fourth proportional to 907.63, 1,252.22 and 627.76 is: 866.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.63 : 1,252.22 = 627.76 : x
  2. Step 2: Convert to fraction form
    907.63/1,252.22 = 627.76/x
  3. Step 3: Cross multiply
    907.63x = 1,252.22 × 627.76
  4. Step 4: Simplify right side
    907.63x = 786,084.23
  5. Step 5: Solve for x
    x = 786,084.23/907.63
  6. Step 6: Final answer
    x = 866.09

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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.