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Finding the Fourth Proportional to 1,532.85, 2,299.47 and 437.34

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Solution

The fourth proportional to 1,532.85, 2,299.47 and 437.34 is: 656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.85 : 2,299.47 = 437.34 : x
  2. Step 2: Convert to fraction form
    1,532.85/2,299.47 = 437.34/x
  3. Step 3: Cross multiply
    1,532.85x = 2,299.47 × 437.34
  4. Step 4: Simplify right side
    1,532.85x = 1,005,650.21
  5. Step 5: Solve for x
    x = 1,005,650.21/1,532.85
  6. Step 6: Final answer
    x = 656.07

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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.