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Finding the Fourth Proportional to 774.99, 1,164.39 and 497.47

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Solution

The fourth proportional to 774.99, 1,164.39 and 497.47 is: 747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.99 : 1,164.39 = 497.47 : x
  2. Step 2: Convert to fraction form
    774.99/1,164.39 = 497.47/x
  3. Step 3: Cross multiply
    774.99x = 1,164.39 × 497.47
  4. Step 4: Simplify right side
    774.99x = 579,249.09
  5. Step 5: Solve for x
    x = 579,249.09/774.99
  6. Step 6: Final answer
    x = 747.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.