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Finding the Fourth Proportional to 843.81, 1,259.35 and 774.15

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Solution

The fourth proportional to 843.81, 1,259.35 and 774.15 is: 1,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.81 : 1,259.35 = 774.15 : x
  2. Step 2: Convert to fraction form
    843.81/1,259.35 = 774.15/x
  3. Step 3: Cross multiply
    843.81x = 1,259.35 × 774.15
  4. Step 4: Simplify right side
    843.81x = 974,925.80
  5. Step 5: Solve for x
    x = 974,925.80/843.81
  6. Step 6: Final answer
    x = 1,155.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.