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Finding the Fourth Proportional to 1,529.28, 2,292.52 and 663.28

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Solution

The fourth proportional to 1,529.28, 2,292.52 and 663.28 is: 994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.28 : 2,292.52 = 663.28 : x
  2. Step 2: Convert to fraction form
    1,529.28/2,292.52 = 663.28/x
  3. Step 3: Cross multiply
    1,529.28x = 2,292.52 × 663.28
  4. Step 4: Simplify right side
    1,529.28x = 1,520,582.67
  5. Step 5: Solve for x
    x = 1,520,582.67/1,529.28
  6. Step 6: Final answer
    x = 994.31

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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.