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Finding the Fourth Proportional to 764.05, 1,053.38 and 584.91

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Solution

The fourth proportional to 764.05, 1,053.38 and 584.91 is: 806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.05 : 1,053.38 = 584.91 : x
  2. Step 2: Convert to fraction form
    764.05/1,053.38 = 584.91/x
  3. Step 3: Cross multiply
    764.05x = 1,053.38 × 584.91
  4. Step 4: Simplify right side
    764.05x = 616,132.50
  5. Step 5: Solve for x
    x = 616,132.50/764.05
  6. Step 6: Final answer
    x = 806.40

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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.