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Finding the Fourth Proportional to 652.80, 976.64 and 550.32

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Solution

The fourth proportional to 652.80, 976.64 and 550.32 is: 823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.80 : 976.64 = 550.32 : x
  2. Step 2: Convert to fraction form
    652.80/976.64 = 550.32/x
  3. Step 3: Cross multiply
    652.80x = 976.64 × 550.32
  4. Step 4: Simplify right side
    652.80x = 537,464.52
  5. Step 5: Solve for x
    x = 537,464.52/652.80
  6. Step 6: Final answer
    x = 823.32

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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.