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Finding the Fourth Proportional to 603.63, 906.66 and 564.75

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Solution

The fourth proportional to 603.63, 906.66 and 564.75 is: 848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.63 : 906.66 = 564.75 : x
  2. Step 2: Convert to fraction form
    603.63/906.66 = 564.75/x
  3. Step 3: Cross multiply
    603.63x = 906.66 × 564.75
  4. Step 4: Simplify right side
    603.63x = 512,036.24
  5. Step 5: Solve for x
    x = 512,036.24/603.63
  6. Step 6: Final answer
    x = 848.26

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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.