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Finding the Fourth Proportional to 705.08, 1,052.34 and 622.86

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Solution

The fourth proportional to 705.08, 1,052.34 and 622.86 is: 929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.08 : 1,052.34 = 622.86 : x
  2. Step 2: Convert to fraction form
    705.08/1,052.34 = 622.86/x
  3. Step 3: Cross multiply
    705.08x = 1,052.34 × 622.86
  4. Step 4: Simplify right side
    705.08x = 655,460.49
  5. Step 5: Solve for x
    x = 655,460.49/705.08
  6. Step 6: Final answer
    x = 929.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.