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Finding the Fourth Proportional to 1,025.78, 1,538.91 and 564.03

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Solution

The fourth proportional to 1,025.78, 1,538.91 and 564.03 is: 846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.78 : 1,538.91 = 564.03 : x
  2. Step 2: Convert to fraction form
    1,025.78/1,538.91 = 564.03/x
  3. Step 3: Cross multiply
    1,025.78x = 1,538.91 × 564.03
  4. Step 4: Simplify right side
    1,025.78x = 867,991.41
  5. Step 5: Solve for x
    x = 867,991.41/1,025.78
  6. Step 6: Final answer
    x = 846.18

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Why These Related Problems?

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