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Finding the Fourth Proportional to 603.42, 830.02 and 503.78

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Solution

The fourth proportional to 603.42, 830.02 and 503.78 is: 692.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.42 : 830.02 = 503.78 : x
  2. Step 2: Convert to fraction form
    603.42/830.02 = 503.78/x
  3. Step 3: Cross multiply
    603.42x = 830.02 × 503.78
  4. Step 4: Simplify right side
    603.42x = 418,147.48
  5. Step 5: Solve for x
    x = 418,147.48/603.42
  6. Step 6: Final answer
    x = 692.96

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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.