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Finding the Fourth Proportional to 918.76, 1,378.23 and 507.82

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Solution

The fourth proportional to 918.76, 1,378.23 and 507.82 is: 761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.76 : 1,378.23 = 507.82 : x
  2. Step 2: Convert to fraction form
    918.76/1,378.23 = 507.82/x
  3. Step 3: Cross multiply
    918.76x = 1,378.23 × 507.82
  4. Step 4: Simplify right side
    918.76x = 699,892.76
  5. Step 5: Solve for x
    x = 699,892.76/918.76
  6. Step 6: Final answer
    x = 761.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.