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Finding the Fourth Proportional to 603.59, 906.07 and 563.95

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Solution

The fourth proportional to 603.59, 906.07 and 563.95 is: 846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.59 : 906.07 = 563.95 : x
  2. Step 2: Convert to fraction form
    603.59/906.07 = 563.95/x
  3. Step 3: Cross multiply
    603.59x = 906.07 × 563.95
  4. Step 4: Simplify right side
    603.59x = 510,978.18
  5. Step 5: Solve for x
    x = 510,978.18/603.59
  6. Step 6: Final answer
    x = 846.57

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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.