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Finding the Fourth Proportional to 1,052.08, 1,451.84 and 579.96

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Solution

The fourth proportional to 1,052.08, 1,451.84 and 579.96 is: 800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.08 : 1,451.84 = 579.96 : x
  2. Step 2: Convert to fraction form
    1,052.08/1,451.84 = 579.96/x
  3. Step 3: Cross multiply
    1,052.08x = 1,451.84 × 579.96
  4. Step 4: Simplify right side
    1,052.08x = 842,009.13
  5. Step 5: Solve for x
    x = 842,009.13/1,052.08
  6. Step 6: Final answer
    x = 800.33

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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.