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Finding the Fourth Proportional to 1,040.95, 1,437.19 and 804.49

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Solution

The fourth proportional to 1,040.95, 1,437.19 and 804.49 is: 1,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.95 : 1,437.19 = 804.49 : x
  2. Step 2: Convert to fraction form
    1,040.95/1,437.19 = 804.49/x
  3. Step 3: Cross multiply
    1,040.95x = 1,437.19 × 804.49
  4. Step 4: Simplify right side
    1,040.95x = 1,156,199.38
  5. Step 5: Solve for x
    x = 1,156,199.38/1,040.95
  6. Step 6: Final answer
    x = 1,110.71

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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.