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Finding the Fourth Proportional to 1,503.09, 2,074.33 and 839.99

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Solution

The fourth proportional to 1,503.09, 2,074.33 and 839.99 is: 1,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.09 : 2,074.33 = 839.99 : x
  2. Step 2: Convert to fraction form
    1,503.09/2,074.33 = 839.99/x
  3. Step 3: Cross multiply
    1,503.09x = 2,074.33 × 839.99
  4. Step 4: Simplify right side
    1,503.09x = 1,742,419.54
  5. Step 5: Solve for x
    x = 1,742,419.54/1,503.09
  6. Step 6: Final answer
    x = 1,159.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.