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Finding the Fourth Proportional to 740.74, 1,109.16 and 593.80

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Solution

The fourth proportional to 740.74, 1,109.16 and 593.80 is: 889.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.74 : 1,109.16 = 593.80 : x
  2. Step 2: Convert to fraction form
    740.74/1,109.16 = 593.80/x
  3. Step 3: Cross multiply
    740.74x = 1,109.16 × 593.80
  4. Step 4: Simplify right side
    740.74x = 658,619.21
  5. Step 5: Solve for x
    x = 658,619.21/740.74
  6. Step 6: Final answer
    x = 889.14

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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.