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Finding the Fourth Proportional to 566.61, 845.61 and 552.03

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Solution

The fourth proportional to 566.61, 845.61 and 552.03 is: 823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.61 : 845.61 = 552.03 : x
  2. Step 2: Convert to fraction form
    566.61/845.61 = 552.03/x
  3. Step 3: Cross multiply
    566.61x = 845.61 × 552.03
  4. Step 4: Simplify right side
    566.61x = 466,802.09
  5. Step 5: Solve for x
    x = 466,802.09/566.61
  6. Step 6: Final answer
    x = 823.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.