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Finding the Fourth Proportional to 774.83, 1,069.68 and 597.41

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Solution

The fourth proportional to 774.83, 1,069.68 and 597.41 is: 824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.83 : 1,069.68 = 597.41 : x
  2. Step 2: Convert to fraction form
    774.83/1,069.68 = 597.41/x
  3. Step 3: Cross multiply
    774.83x = 1,069.68 × 597.41
  4. Step 4: Simplify right side
    774.83x = 639,032.18
  5. Step 5: Solve for x
    x = 639,032.18/774.83
  6. Step 6: Final answer
    x = 824.74

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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.