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Finding the Fourth Proportional to 646.89, 965.55 and 581.28

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Solution

The fourth proportional to 646.89, 965.55 and 581.28 is: 867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.89 : 965.55 = 581.28 : x
  2. Step 2: Convert to fraction form
    646.89/965.55 = 581.28/x
  3. Step 3: Cross multiply
    646.89x = 965.55 × 581.28
  4. Step 4: Simplify right side
    646.89x = 561,254.90
  5. Step 5: Solve for x
    x = 561,254.90/646.89
  6. Step 6: Final answer
    x = 867.62

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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.