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Finding the Fourth Proportional to 907.82, 1,252.77 and 514.83

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Solution

The fourth proportional to 907.82, 1,252.77 and 514.83 is: 710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.82 : 1,252.77 = 514.83 : x
  2. Step 2: Convert to fraction form
    907.82/1,252.77 = 514.83/x
  3. Step 3: Cross multiply
    907.82x = 1,252.77 × 514.83
  4. Step 4: Simplify right side
    907.82x = 644,963.58
  5. Step 5: Solve for x
    x = 644,963.58/907.82
  6. Step 6: Final answer
    x = 710.46

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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.