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Finding the Fourth Proportional to 1,014.35, 1,520.64 and 437.63

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Solution

The fourth proportional to 1,014.35, 1,520.64 and 437.63 is: 656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.35 : 1,520.64 = 437.63 : x
  2. Step 2: Convert to fraction form
    1,014.35/1,520.64 = 437.63/x
  3. Step 3: Cross multiply
    1,014.35x = 1,520.64 × 437.63
  4. Step 4: Simplify right side
    1,014.35x = 665,470.08
  5. Step 5: Solve for x
    x = 665,470.08/1,014.35
  6. Step 6: Final answer
    x = 656.06

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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.