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Finding the Fourth Proportional to 683.52, 1,024.64 and 652.16

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Solution

The fourth proportional to 683.52, 1,024.64 and 652.16 is: 977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.52 : 1,024.64 = 652.16 : x
  2. Step 2: Convert to fraction form
    683.52/1,024.64 = 652.16/x
  3. Step 3: Cross multiply
    683.52x = 1,024.64 × 652.16
  4. Step 4: Simplify right side
    683.52x = 668,229.22
  5. Step 5: Solve for x
    x = 668,229.22/683.52
  6. Step 6: Final answer
    x = 977.63

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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.