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Finding the Fourth Proportional to 654.10, 900.52 and 566.75

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Solution

The fourth proportional to 654.10, 900.52 and 566.75 is: 780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.10 : 900.52 = 566.75 : x
  2. Step 2: Convert to fraction form
    654.10/900.52 = 566.75/x
  3. Step 3: Cross multiply
    654.10x = 900.52 × 566.75
  4. Step 4: Simplify right side
    654.10x = 510,370.54
  5. Step 5: Solve for x
    x = 510,370.54/654.10
  6. Step 6: Final answer
    x = 780.27

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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.