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Finding the Fourth Proportional to 656.76, 905.94 and 569.28

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Solution

The fourth proportional to 656.76, 905.94 and 569.28 is: 785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.76 : 905.94 = 569.28 : x
  2. Step 2: Convert to fraction form
    656.76/905.94 = 569.28/x
  3. Step 3: Cross multiply
    656.76x = 905.94 × 569.28
  4. Step 4: Simplify right side
    656.76x = 515,733.52
  5. Step 5: Solve for x
    x = 515,733.52/656.76
  6. Step 6: Final answer
    x = 785.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.