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Finding the Fourth Proportional to 1,525.24, 2,288.70 and 648.24

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Solution

The fourth proportional to 1,525.24, 2,288.70 and 648.24 is: 972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.24 : 2,288.70 = 648.24 : x
  2. Step 2: Convert to fraction form
    1,525.24/2,288.70 = 648.24/x
  3. Step 3: Cross multiply
    1,525.24x = 2,288.70 × 648.24
  4. Step 4: Simplify right side
    1,525.24x = 1,483,626.89
  5. Step 5: Solve for x
    x = 1,483,626.89/1,525.24
  6. Step 6: Final answer
    x = 972.72

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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.