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Finding the Fourth Proportional to 654.66, 901.20 and 507.24

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Solution

The fourth proportional to 654.66, 901.20 and 507.24 is: 698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.66 : 901.20 = 507.24 : x
  2. Step 2: Convert to fraction form
    654.66/901.20 = 507.24/x
  3. Step 3: Cross multiply
    654.66x = 901.20 × 507.24
  4. Step 4: Simplify right side
    654.66x = 457,124.69
  5. Step 5: Solve for x
    x = 457,124.69/654.66
  6. Step 6: Final answer
    x = 698.26

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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.