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Finding the Fourth Proportional to 1,470.28, 2,028.99 and 832.18

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Solution

The fourth proportional to 1,470.28, 2,028.99 and 832.18 is: 1,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.28 : 2,028.99 = 832.18 : x
  2. Step 2: Convert to fraction form
    1,470.28/2,028.99 = 832.18/x
  3. Step 3: Cross multiply
    1,470.28x = 2,028.99 × 832.18
  4. Step 4: Simplify right side
    1,470.28x = 1,688,484.90
  5. Step 5: Solve for x
    x = 1,688,484.90/1,470.28
  6. Step 6: Final answer
    x = 1,148.41

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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.