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Finding the Fourth Proportional to 907.85, 1,252.83 and 514.95

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Solution

The fourth proportional to 907.85, 1,252.83 and 514.95 is: 710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.85 : 1,252.83 = 514.95 : x
  2. Step 2: Convert to fraction form
    907.85/1,252.83 = 514.95/x
  3. Step 3: Cross multiply
    907.85x = 1,252.83 × 514.95
  4. Step 4: Simplify right side
    907.85x = 645,144.81
  5. Step 5: Solve for x
    x = 645,144.81/907.85
  6. Step 6: Final answer
    x = 710.63

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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.