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Finding the Fourth Proportional to 1,019.60, 1,406.16 and 741.68

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Solution

The fourth proportional to 1,019.60, 1,406.16 and 741.68 is: 1,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.60 : 1,406.16 = 741.68 : x
  2. Step 2: Convert to fraction form
    1,019.60/1,406.16 = 741.68/x
  3. Step 3: Cross multiply
    1,019.60x = 1,406.16 × 741.68
  4. Step 4: Simplify right side
    1,019.60x = 1,042,920.75
  5. Step 5: Solve for x
    x = 1,042,920.75/1,019.60
  6. Step 6: Final answer
    x = 1,022.87

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Why These Related Problems?

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