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Finding the Fourth Proportional to 907.83, 1,252.73 and 514.85

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Solution

The fourth proportional to 907.83, 1,252.73 and 514.85 is: 710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.83 : 1,252.73 = 514.85 : x
  2. Step 2: Convert to fraction form
    907.83/1,252.73 = 514.85/x
  3. Step 3: Cross multiply
    907.83x = 1,252.73 × 514.85
  4. Step 4: Simplify right side
    907.83x = 644,963.06
  5. Step 5: Solve for x
    x = 644,963.06/907.83
  6. Step 6: Final answer
    x = 710.44

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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.