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Finding the Fourth Proportional to 1,021.32, 1,410.69 and 741.11

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Solution

The fourth proportional to 1,021.32, 1,410.69 and 741.11 is: 1,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.32 : 1,410.69 = 741.11 : x
  2. Step 2: Convert to fraction form
    1,021.32/1,410.69 = 741.11/x
  3. Step 3: Cross multiply
    1,021.32x = 1,410.69 × 741.11
  4. Step 4: Simplify right side
    1,021.32x = 1,045,472.94
  5. Step 5: Solve for x
    x = 1,045,472.94/1,021.32
  6. Step 6: Final answer
    x = 1,023.65

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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.