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Finding the Fourth Proportional to 560.78, 839.01 and 535.22

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Solution

The fourth proportional to 560.78, 839.01 and 535.22 is: 800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.78 : 839.01 = 535.22 : x
  2. Step 2: Convert to fraction form
    560.78/839.01 = 535.22/x
  3. Step 3: Cross multiply
    560.78x = 839.01 × 535.22
  4. Step 4: Simplify right side
    560.78x = 449,054.93
  5. Step 5: Solve for x
    x = 449,054.93/560.78
  6. Step 6: Final answer
    x = 800.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.