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Finding the Fourth Proportional to 1,470.08, 2,028.71 and 806.93

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Solution

The fourth proportional to 1,470.08, 2,028.71 and 806.93 is: 1,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.08 : 2,028.71 = 806.93 : x
  2. Step 2: Convert to fraction form
    1,470.08/2,028.71 = 806.93/x
  3. Step 3: Cross multiply
    1,470.08x = 2,028.71 × 806.93
  4. Step 4: Simplify right side
    1,470.08x = 1,637,026.44
  5. Step 5: Solve for x
    x = 1,637,026.44/1,470.08
  6. Step 6: Final answer
    x = 1,113.56

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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.