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Finding the Fourth Proportional to 816.37, 1,126.80 and 501.71

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Solution

The fourth proportional to 816.37, 1,126.80 and 501.71 is: 692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.37 : 1,126.80 = 501.71 : x
  2. Step 2: Convert to fraction form
    816.37/1,126.80 = 501.71/x
  3. Step 3: Cross multiply
    816.37x = 1,126.80 × 501.71
  4. Step 4: Simplify right side
    816.37x = 565,324.32
  5. Step 5: Solve for x
    x = 565,324.32/816.37
  6. Step 6: Final answer
    x = 692.49

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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.