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Finding the Fourth Proportional to 646.20, 965.03 and 564.19

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Solution

The fourth proportional to 646.20, 965.03 and 564.19 is: 842.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.20 : 965.03 = 564.19 : x
  2. Step 2: Convert to fraction form
    646.20/965.03 = 564.19/x
  3. Step 3: Cross multiply
    646.20x = 965.03 × 564.19
  4. Step 4: Simplify right side
    646.20x = 544,455.04
  5. Step 5: Solve for x
    x = 544,455.04/646.20
  6. Step 6: Final answer
    x = 842.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.