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Finding the Fourth Proportional to 591.78, 814.78 and 503.08

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Solution

The fourth proportional to 591.78, 814.78 and 503.08 is: 692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.78 : 814.78 = 503.08 : x
  2. Step 2: Convert to fraction form
    591.78/814.78 = 503.08/x
  3. Step 3: Cross multiply
    591.78x = 814.78 × 503.08
  4. Step 4: Simplify right side
    591.78x = 409,899.52
  5. Step 5: Solve for x
    x = 409,899.52/591.78
  6. Step 6: Final answer
    x = 692.66

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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.