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Finding the Fourth Proportional to 1,525.92, 2,288.96 and 486.01

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Solution

The fourth proportional to 1,525.92, 2,288.96 and 486.01 is: 729.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.92 : 2,288.96 = 486.01 : x
  2. Step 2: Convert to fraction form
    1,525.92/2,288.96 = 486.01/x
  3. Step 3: Cross multiply
    1,525.92x = 2,288.96 × 486.01
  4. Step 4: Simplify right side
    1,525.92x = 1,112,457.45
  5. Step 5: Solve for x
    x = 1,112,457.45/1,525.92
  6. Step 6: Final answer
    x = 729.04

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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.