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Finding the Fourth Proportional to 1,470.09, 2,028.62 and 840.63

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Solution

The fourth proportional to 1,470.09, 2,028.62 and 840.63 is: 1,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.09 : 2,028.62 = 840.63 : x
  2. Step 2: Convert to fraction form
    1,470.09/2,028.62 = 840.63/x
  3. Step 3: Cross multiply
    1,470.09x = 2,028.62 × 840.63
  4. Step 4: Simplify right side
    1,470.09x = 1,705,314.63
  5. Step 5: Solve for x
    x = 1,705,314.63/1,470.09
  6. Step 6: Final answer
    x = 1,160.01

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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.