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Finding the Fourth Proportional to 657.15, 984.86 and 565.23

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Solution

The fourth proportional to 657.15, 984.86 and 565.23 is: 847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.15 : 984.86 = 565.23 : x
  2. Step 2: Convert to fraction form
    657.15/984.86 = 565.23/x
  3. Step 3: Cross multiply
    657.15x = 984.86 × 565.23
  4. Step 4: Simplify right side
    657.15x = 556,669.59
  5. Step 5: Solve for x
    x = 556,669.59/657.15
  6. Step 6: Final answer
    x = 847.10

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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.