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Finding the Fourth Proportional to 591.93, 815.01 and 503.23

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Solution

The fourth proportional to 591.93, 815.01 and 503.23 is: 692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.93 : 815.01 = 503.23 : x
  2. Step 2: Convert to fraction form
    591.93/815.01 = 503.23/x
  3. Step 3: Cross multiply
    591.93x = 815.01 × 503.23
  4. Step 4: Simplify right side
    591.93x = 410,137.48
  5. Step 5: Solve for x
    x = 410,137.48/591.93
  6. Step 6: Final answer
    x = 692.88

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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.