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Finding the Fourth Proportional to 601.18, 902.04 and 553.66

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Solution

The fourth proportional to 601.18, 902.04 and 553.66 is: 830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.18 : 902.04 = 553.66 : x
  2. Step 2: Convert to fraction form
    601.18/902.04 = 553.66/x
  3. Step 3: Cross multiply
    601.18x = 902.04 × 553.66
  4. Step 4: Simplify right side
    601.18x = 499,423.47
  5. Step 5: Solve for x
    x = 499,423.47/601.18
  6. Step 6: Final answer
    x = 830.74

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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.