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Finding the Fourth Proportional to 1,525.92, 2,289.02 and 552.10

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Solution

The fourth proportional to 1,525.92, 2,289.02 and 552.10 is: 828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.92 : 2,289.02 = 552.10 : x
  2. Step 2: Convert to fraction form
    1,525.92/2,289.02 = 552.10/x
  3. Step 3: Cross multiply
    1,525.92x = 2,289.02 × 552.10
  4. Step 4: Simplify right side
    1,525.92x = 1,263,767.94
  5. Step 5: Solve for x
    x = 1,263,767.94/1,525.92
  6. Step 6: Final answer
    x = 828.20

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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.