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Finding the Fourth Proportional to 650.53, 896.68 and 508.49

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Solution

The fourth proportional to 650.53, 896.68 and 508.49 is: 700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.53 : 896.68 = 508.49 : x
  2. Step 2: Convert to fraction form
    650.53/896.68 = 508.49/x
  3. Step 3: Cross multiply
    650.53x = 896.68 × 508.49
  4. Step 4: Simplify right side
    650.53x = 455,956.81
  5. Step 5: Solve for x
    x = 455,956.81/650.53
  6. Step 6: Final answer
    x = 700.90

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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.