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Finding the Fourth Proportional to 1,470.31, 2,028.66 and 840.65

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Solution

The fourth proportional to 1,470.31, 2,028.66 and 840.65 is: 1,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.31 : 2,028.66 = 840.65 : x
  2. Step 2: Convert to fraction form
    1,470.31/2,028.66 = 840.65/x
  3. Step 3: Cross multiply
    1,470.31x = 2,028.66 × 840.65
  4. Step 4: Simplify right side
    1,470.31x = 1,705,382.89
  5. Step 5: Solve for x
    x = 1,705,382.89/1,470.31
  6. Step 6: Final answer
    x = 1,159.88

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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.