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Finding the Fourth Proportional to 1,040.57, 1,436.67 and 804.11

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Solution

The fourth proportional to 1,040.57, 1,436.67 and 804.11 is: 1,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.57 : 1,436.67 = 804.11 : x
  2. Step 2: Convert to fraction form
    1,040.57/1,436.67 = 804.11/x
  3. Step 3: Cross multiply
    1,040.57x = 1,436.67 × 804.11
  4. Step 4: Simplify right side
    1,040.57x = 1,155,240.71
  5. Step 5: Solve for x
    x = 1,155,240.71/1,040.57
  6. Step 6: Final answer
    x = 1,110.20

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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.