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Finding the Fourth Proportional to 1,470.21, 2,028.88 and 807.04

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Solution

The fourth proportional to 1,470.21, 2,028.88 and 807.04 is: 1,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.21 : 2,028.88 = 807.04 : x
  2. Step 2: Convert to fraction form
    1,470.21/2,028.88 = 807.04/x
  3. Step 3: Cross multiply
    1,470.21x = 2,028.88 × 807.04
  4. Step 4: Simplify right side
    1,470.21x = 1,637,387.32
  5. Step 5: Solve for x
    x = 1,637,387.32/1,470.21
  6. Step 6: Final answer
    x = 1,113.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.