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Finding the Fourth Proportional to 1,302.78, 1,797.32 and 804.56

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Solution

The fourth proportional to 1,302.78, 1,797.32 and 804.56 is: 1,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.78 : 1,797.32 = 804.56 : x
  2. Step 2: Convert to fraction form
    1,302.78/1,797.32 = 804.56/x
  3. Step 3: Cross multiply
    1,302.78x = 1,797.32 × 804.56
  4. Step 4: Simplify right side
    1,302.78x = 1,446,038.77
  5. Step 5: Solve for x
    x = 1,446,038.77/1,302.78
  6. Step 6: Final answer
    x = 1,109.96

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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.