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Finding the Fourth Proportional to 956.63, 1,320.48 and 563.63

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Solution

The fourth proportional to 956.63, 1,320.48 and 563.63 is: 778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.63 : 1,320.48 = 563.63 : x
  2. Step 2: Convert to fraction form
    956.63/1,320.48 = 563.63/x
  3. Step 3: Cross multiply
    956.63x = 1,320.48 × 563.63
  4. Step 4: Simplify right side
    956.63x = 744,253.95
  5. Step 5: Solve for x
    x = 744,253.95/956.63
  6. Step 6: Final answer
    x = 778.00

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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.