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Finding the Fourth Proportional to 1,140.40, 1,572.66 and 943.54

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Solution

The fourth proportional to 1,140.40, 1,572.66 and 943.54 is: 1,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.40 : 1,572.66 = 943.54 : x
  2. Step 2: Convert to fraction form
    1,140.40/1,572.66 = 943.54/x
  3. Step 3: Cross multiply
    1,140.40x = 1,572.66 × 943.54
  4. Step 4: Simplify right side
    1,140.40x = 1,483,867.62
  5. Step 5: Solve for x
    x = 1,483,867.62/1,140.40
  6. Step 6: Final answer
    x = 1,301.18

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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.