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Finding the Fourth Proportional to 1,068.94, 1,475.31 and 894.22

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Solution

The fourth proportional to 1,068.94, 1,475.31 and 894.22 is: 1,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.94 : 1,475.31 = 894.22 : x
  2. Step 2: Convert to fraction form
    1,068.94/1,475.31 = 894.22/x
  3. Step 3: Cross multiply
    1,068.94x = 1,475.31 × 894.22
  4. Step 4: Simplify right side
    1,068.94x = 1,319,251.71
  5. Step 5: Solve for x
    x = 1,319,251.71/1,068.94
  6. Step 6: Final answer
    x = 1,234.17

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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.