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Finding the Fourth Proportional to 656.17, 901.46 and 587.14

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Solution

The fourth proportional to 656.17, 901.46 and 587.14 is: 806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.17 : 901.46 = 587.14 : x
  2. Step 2: Convert to fraction form
    656.17/901.46 = 587.14/x
  3. Step 3: Cross multiply
    656.17x = 901.46 × 587.14
  4. Step 4: Simplify right side
    656.17x = 529,283.62
  5. Step 5: Solve for x
    x = 529,283.62/656.17
  6. Step 6: Final answer
    x = 806.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.