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Finding the Fourth Proportional to 953.63, 1,316.22 and 560.78

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Solution

The fourth proportional to 953.63, 1,316.22 and 560.78 is: 774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.63 : 1,316.22 = 560.78 : x
  2. Step 2: Convert to fraction form
    953.63/1,316.22 = 560.78/x
  3. Step 3: Cross multiply
    953.63x = 1,316.22 × 560.78
  4. Step 4: Simplify right side
    953.63x = 738,103.27
  5. Step 5: Solve for x
    x = 738,103.27/953.63
  6. Step 6: Final answer
    x = 774.00

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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.