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Finding the Fourth Proportional to 1,402.18, 1,935.09 and 804.71

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Solution

The fourth proportional to 1,402.18, 1,935.09 and 804.71 is: 1,110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.18 : 1,935.09 = 804.71 : x
  2. Step 2: Convert to fraction form
    1,402.18/1,935.09 = 804.71/x
  3. Step 3: Cross multiply
    1,402.18x = 1,935.09 × 804.71
  4. Step 4: Simplify right side
    1,402.18x = 1,557,191.11
  5. Step 5: Solve for x
    x = 1,557,191.11/1,402.18
  6. Step 6: Final answer
    x = 1,110.55

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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.