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Finding the Fourth Proportional to 603.52, 903.81 and 545.09

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Solution

The fourth proportional to 603.52, 903.81 and 545.09 is: 816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.52 : 903.81 = 545.09 : x
  2. Step 2: Convert to fraction form
    603.52/903.81 = 545.09/x
  3. Step 3: Cross multiply
    603.52x = 903.81 × 545.09
  4. Step 4: Simplify right side
    603.52x = 492,650.55
  5. Step 5: Solve for x
    x = 492,650.55/603.52
  6. Step 6: Final answer
    x = 816.30

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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.