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Finding the Fourth Proportional to 1,064.74, 1,468.70 and 622.32

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Solution

The fourth proportional to 1,064.74, 1,468.70 and 622.32 is: 858.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.74 : 1,468.70 = 622.32 : x
  2. Step 2: Convert to fraction form
    1,064.74/1,468.70 = 622.32/x
  3. Step 3: Cross multiply
    1,064.74x = 1,468.70 × 622.32
  4. Step 4: Simplify right side
    1,064.74x = 914,001.38
  5. Step 5: Solve for x
    x = 914,001.38/1,064.74
  6. Step 6: Final answer
    x = 858.43

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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.