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Finding the Fourth Proportional to 907.37, 1,251.63 and 687.17

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Solution

The fourth proportional to 907.37, 1,251.63 and 687.17 is: 947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.37 : 1,251.63 = 687.17 : x
  2. Step 2: Convert to fraction form
    907.37/1,251.63 = 687.17/x
  3. Step 3: Cross multiply
    907.37x = 1,251.63 × 687.17
  4. Step 4: Simplify right side
    907.37x = 860,082.59
  5. Step 5: Solve for x
    x = 860,082.59/907.37
  6. Step 6: Final answer
    x = 947.89

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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.