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Finding the Fourth Proportional to 907.83, 1,252.84 and 514.87

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Solution

The fourth proportional to 907.83, 1,252.84 and 514.87 is: 710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.83 : 1,252.84 = 514.87 : x
  2. Step 2: Convert to fraction form
    907.83/1,252.84 = 514.87/x
  3. Step 3: Cross multiply
    907.83x = 1,252.84 × 514.87
  4. Step 4: Simplify right side
    907.83x = 645,047.16
  5. Step 5: Solve for x
    x = 645,047.16/907.83
  6. Step 6: Final answer
    x = 710.54

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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.