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Finding the Fourth Proportional to 1,064.34, 1,468.62 and 622.20

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Solution

The fourth proportional to 1,064.34, 1,468.62 and 622.20 is: 858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.34 : 1,468.62 = 622.20 : x
  2. Step 2: Convert to fraction form
    1,064.34/1,468.62 = 622.20/x
  3. Step 3: Cross multiply
    1,064.34x = 1,468.62 × 622.20
  4. Step 4: Simplify right side
    1,064.34x = 913,775.36
  5. Step 5: Solve for x
    x = 913,775.36/1,064.34
  6. Step 6: Final answer
    x = 858.54

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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.