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Finding the Fourth Proportional to 1,529.40, 2,293.68 and 663.50

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Solution

The fourth proportional to 1,529.40, 2,293.68 and 663.50 is: 995.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.40 : 2,293.68 = 663.50 : x
  2. Step 2: Convert to fraction form
    1,529.40/2,293.68 = 663.50/x
  3. Step 3: Cross multiply
    1,529.40x = 2,293.68 × 663.50
  4. Step 4: Simplify right side
    1,529.40x = 1,521,856.68
  5. Step 5: Solve for x
    x = 1,521,856.68/1,529.40
  6. Step 6: Final answer
    x = 995.07

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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.