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Finding the Fourth Proportional to 1,529.10, 2,292.03 and 663.30

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Solution

The fourth proportional to 1,529.10, 2,292.03 and 663.30 is: 994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.10 : 2,292.03 = 663.30 : x
  2. Step 2: Convert to fraction form
    1,529.10/2,292.03 = 663.30/x
  3. Step 3: Cross multiply
    1,529.10x = 2,292.03 × 663.30
  4. Step 4: Simplify right side
    1,529.10x = 1,520,303.50
  5. Step 5: Solve for x
    x = 1,520,303.50/1,529.10
  6. Step 6: Final answer
    x = 994.25

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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.