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Finding the Fourth Proportional to 744.09, 1,113.85 and 469.80

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Solution

The fourth proportional to 744.09, 1,113.85 and 469.80 is: 703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.09 : 1,113.85 = 469.80 : x
  2. Step 2: Convert to fraction form
    744.09/1,113.85 = 469.80/x
  3. Step 3: Cross multiply
    744.09x = 1,113.85 × 469.80
  4. Step 4: Simplify right side
    744.09x = 523,287.32
  5. Step 5: Solve for x
    x = 523,287.32/744.09
  6. Step 6: Final answer
    x = 703.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.