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Finding the Fourth Proportional to 956.94, 1,320.30 and 563.82

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Solution

The fourth proportional to 956.94, 1,320.30 and 563.82 is: 777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.94 : 1,320.30 = 563.82 : x
  2. Step 2: Convert to fraction form
    956.94/1,320.30 = 563.82/x
  3. Step 3: Cross multiply
    956.94x = 1,320.30 × 563.82
  4. Step 4: Simplify right side
    956.94x = 744,411.55
  5. Step 5: Solve for x
    x = 744,411.55/956.94
  6. Step 6: Final answer
    x = 777.91

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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.