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Finding the Fourth Proportional to 762.73, 1,054.52 and 577.20

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Solution

The fourth proportional to 762.73, 1,054.52 and 577.20 is: 798.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.73 : 1,054.52 = 577.20 : x
  2. Step 2: Convert to fraction form
    762.73/1,054.52 = 577.20/x
  3. Step 3: Cross multiply
    762.73x = 1,054.52 × 577.20
  4. Step 4: Simplify right side
    762.73x = 608,668.94
  5. Step 5: Solve for x
    x = 608,668.94/762.73
  6. Step 6: Final answer
    x = 798.01

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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.