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Finding the Fourth Proportional to 956.99, 1,320.75 and 564

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Solution

The fourth proportional to 956.99, 1,320.75 and 564 is: 778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.99 : 1,320.75 = 564 : x
  2. Step 2: Convert to fraction form
    956.99/1,320.75 = 564/x
  3. Step 3: Cross multiply
    956.99x = 1,320.75 × 564
  4. Step 4: Simplify right side
    956.99x = 744,903
  5. Step 5: Solve for x
    x = 744,903/956.99
  6. Step 6: Final answer
    x = 778.38

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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.