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Finding the Fourth Proportional to 1,059.92, 1,463.04 and 894.08

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Solution

The fourth proportional to 1,059.92, 1,463.04 and 894.08 is: 1,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.92 : 1,463.04 = 894.08 : x
  2. Step 2: Convert to fraction form
    1,059.92/1,463.04 = 894.08/x
  3. Step 3: Cross multiply
    1,059.92x = 1,463.04 × 894.08
  4. Step 4: Simplify right side
    1,059.92x = 1,308,074.80
  5. Step 5: Solve for x
    x = 1,308,074.80/1,059.92
  6. Step 6: Final answer
    x = 1,234.13

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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.