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Finding the Fourth Proportional to 564.86, 840.88 and 561.79

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Solution

The fourth proportional to 564.86, 840.88 and 561.79 is: 836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.86 : 840.88 = 561.79 : x
  2. Step 2: Convert to fraction form
    564.86/840.88 = 561.79/x
  3. Step 3: Cross multiply
    564.86x = 840.88 × 561.79
  4. Step 4: Simplify right side
    564.86x = 472,396.78
  5. Step 5: Solve for x
    x = 472,396.78/564.86
  6. Step 6: Final answer
    x = 836.31

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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.