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Finding the Fourth Proportional to 646.77, 893.50 and 559.29

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Solution

The fourth proportional to 646.77, 893.50 and 559.29 is: 772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.77 : 893.50 = 559.29 : x
  2. Step 2: Convert to fraction form
    646.77/893.50 = 559.29/x
  3. Step 3: Cross multiply
    646.77x = 893.50 × 559.29
  4. Step 4: Simplify right side
    646.77x = 499,725.62
  5. Step 5: Solve for x
    x = 499,725.62/646.77
  6. Step 6: Final answer
    x = 772.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.