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Finding the Fourth Proportional to 1,068.96, 1,470.54 and 872.04

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Solution

The fourth proportional to 1,068.96, 1,470.54 and 872.04 is: 1,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.96 : 1,470.54 = 872.04 : x
  2. Step 2: Convert to fraction form
    1,068.96/1,470.54 = 872.04/x
  3. Step 3: Cross multiply
    1,068.96x = 1,470.54 × 872.04
  4. Step 4: Simplify right side
    1,068.96x = 1,282,369.70
  5. Step 5: Solve for x
    x = 1,282,369.70/1,068.96
  6. Step 6: Final answer
    x = 1,199.64

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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.