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Finding the Fourth Proportional to 613.40, 920.09 and 569.66

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Solution

The fourth proportional to 613.40, 920.09 and 569.66 is: 854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.40 : 920.09 = 569.66 : x
  2. Step 2: Convert to fraction form
    613.40/920.09 = 569.66/x
  3. Step 3: Cross multiply
    613.40x = 920.09 × 569.66
  4. Step 4: Simplify right side
    613.40x = 524,135.29
  5. Step 5: Solve for x
    x = 524,135.29/613.40
  6. Step 6: Final answer
    x = 854.48

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1.5x scale

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.