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Finding the Fourth Proportional to 652.56, 901.32 and 566.32

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Solution

The fourth proportional to 652.56, 901.32 and 566.32 is: 782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.56 : 901.32 = 566.32 : x
  2. Step 2: Convert to fraction form
    652.56/901.32 = 566.32/x
  3. Step 3: Cross multiply
    652.56x = 901.32 × 566.32
  4. Step 4: Simplify right side
    652.56x = 510,435.54
  5. Step 5: Solve for x
    x = 510,435.54/652.56
  6. Step 6: Final answer
    x = 782.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.