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Finding the Fourth Proportional to 1,402.45, 1,935.35 and 804.93

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Solution

The fourth proportional to 1,402.45, 1,935.35 and 804.93 is: 1,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.45 : 1,935.35 = 804.93 : x
  2. Step 2: Convert to fraction form
    1,402.45/1,935.35 = 804.93/x
  3. Step 3: Cross multiply
    1,402.45x = 1,935.35 × 804.93
  4. Step 4: Simplify right side
    1,402.45x = 1,557,814.43
  5. Step 5: Solve for x
    x = 1,557,814.43/1,402.45
  6. Step 6: Final answer
    x = 1,110.78

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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.