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Finding the Fourth Proportional to 1,133.82, 1,564.68 and 741.54

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Solution

The fourth proportional to 1,133.82, 1,564.68 and 741.54 is: 1,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.82 : 1,564.68 = 741.54 : x
  2. Step 2: Convert to fraction form
    1,133.82/1,564.68 = 741.54/x
  3. Step 3: Cross multiply
    1,133.82x = 1,564.68 × 741.54
  4. Step 4: Simplify right side
    1,133.82x = 1,160,272.81
  5. Step 5: Solve for x
    x = 1,160,272.81/1,133.82
  6. Step 6: Final answer
    x = 1,023.33

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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.