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Finding the Fourth Proportional to 1,528.16, 2,292.22 and 553.86

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Solution

The fourth proportional to 1,528.16, 2,292.22 and 553.86 is: 830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.16 : 2,292.22 = 553.86 : x
  2. Step 2: Convert to fraction form
    1,528.16/2,292.22 = 553.86/x
  3. Step 3: Cross multiply
    1,528.16x = 2,292.22 × 553.86
  4. Step 4: Simplify right side
    1,528.16x = 1,269,568.97
  5. Step 5: Solve for x
    x = 1,269,568.97/1,528.16
  6. Step 6: Final answer
    x = 830.78

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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.