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Finding the Fourth Proportional to 983.61, 1,357.41 and 564

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Solution

The fourth proportional to 983.61, 1,357.41 and 564 is: 778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.61 : 1,357.41 = 564 : x
  2. Step 2: Convert to fraction form
    983.61/1,357.41 = 564/x
  3. Step 3: Cross multiply
    983.61x = 1,357.41 × 564
  4. Step 4: Simplify right side
    983.61x = 765,579.24
  5. Step 5: Solve for x
    x = 765,579.24/983.61
  6. Step 6: Final answer
    x = 778.34

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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.