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Finding the Fourth Proportional to 907.86, 1,252.94 and 534.96

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Solution

The fourth proportional to 907.86, 1,252.94 and 534.96 is: 738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.86 : 1,252.94 = 534.96 : x
  2. Step 2: Convert to fraction form
    907.86/1,252.94 = 534.96/x
  3. Step 3: Cross multiply
    907.86x = 1,252.94 × 534.96
  4. Step 4: Simplify right side
    907.86x = 670,266.98
  5. Step 5: Solve for x
    x = 670,266.98/907.86
  6. Step 6: Final answer
    x = 738.29

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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.