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Finding the Fourth Proportional to 650.16, 973.08 and 552.24

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Solution

The fourth proportional to 650.16, 973.08 and 552.24 is: 826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.16 : 973.08 = 552.24 : x
  2. Step 2: Convert to fraction form
    650.16/973.08 = 552.24/x
  3. Step 3: Cross multiply
    650.16x = 973.08 × 552.24
  4. Step 4: Simplify right side
    650.16x = 537,373.70
  5. Step 5: Solve for x
    x = 537,373.70/650.16
  6. Step 6: Final answer
    x = 826.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.