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Finding the Fourth Proportional to 779.20, 1,074 and 592.48

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Solution

The fourth proportional to 779.20, 1,074 and 592.48 is: 816.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.20 : 1,074 = 592.48 : x
  2. Step 2: Convert to fraction form
    779.20/1,074 = 592.48/x
  3. Step 3: Cross multiply
    779.20x = 1,074 × 592.48
  4. Step 4: Simplify right side
    779.20x = 636,323.52
  5. Step 5: Solve for x
    x = 636,323.52/779.20
  6. Step 6: Final answer
    x = 816.64

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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.