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Finding the Fourth Proportional to 1,470.98, 2,205.90 and 593.48

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Solution

The fourth proportional to 1,470.98, 2,205.90 and 593.48 is: 889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.98 : 2,205.90 = 593.48 : x
  2. Step 2: Convert to fraction form
    1,470.98/2,205.90 = 593.48/x
  3. Step 3: Cross multiply
    1,470.98x = 2,205.90 × 593.48
  4. Step 4: Simplify right side
    1,470.98x = 1,309,157.53
  5. Step 5: Solve for x
    x = 1,309,157.53/1,470.98
  6. Step 6: Final answer
    x = 889.99

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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.