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Finding the Fourth Proportional to 1,019.52, 1,529.28 and 564.48

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Solution

The fourth proportional to 1,019.52, 1,529.28 and 564.48 is: 846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.52 : 1,529.28 = 564.48 : x
  2. Step 2: Convert to fraction form
    1,019.52/1,529.28 = 564.48/x
  3. Step 3: Cross multiply
    1,019.52x = 1,529.28 × 564.48
  4. Step 4: Simplify right side
    1,019.52x = 863,247.97
  5. Step 5: Solve for x
    x = 863,247.97/1,019.52
  6. Step 6: Final answer
    x = 846.72

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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.