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Finding the Fourth Proportional to 617.72, 925.67 and 602.45

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Solution

The fourth proportional to 617.72, 925.67 and 602.45 is: 902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.72 : 925.67 = 602.45 : x
  2. Step 2: Convert to fraction form
    617.72/925.67 = 602.45/x
  3. Step 3: Cross multiply
    617.72x = 925.67 × 602.45
  4. Step 4: Simplify right side
    617.72x = 557,666.77
  5. Step 5: Solve for x
    x = 557,666.77/617.72
  6. Step 6: Final answer
    x = 902.78

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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.