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Finding the Fourth Proportional to 1,470.33, 2,028.87 and 832.17

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Solution

The fourth proportional to 1,470.33, 2,028.87 and 832.17 is: 1,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.33 : 2,028.87 = 832.17 : x
  2. Step 2: Convert to fraction form
    1,470.33/2,028.87 = 832.17/x
  3. Step 3: Cross multiply
    1,470.33x = 2,028.87 × 832.17
  4. Step 4: Simplify right side
    1,470.33x = 1,688,364.75
  5. Step 5: Solve for x
    x = 1,688,364.75/1,470.33
  6. Step 6: Final answer
    x = 1,148.29

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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.