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Finding the Fourth Proportional to 657.24, 986.70 and 535.74

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Solution

The fourth proportional to 657.24, 986.70 and 535.74 is: 804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.24 : 986.70 = 535.74 : x
  2. Step 2: Convert to fraction form
    657.24/986.70 = 535.74/x
  3. Step 3: Cross multiply
    657.24x = 986.70 × 535.74
  4. Step 4: Simplify right side
    657.24x = 528,614.66
  5. Step 5: Solve for x
    x = 528,614.66/657.24
  6. Step 6: Final answer
    x = 804.29

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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.