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Finding the Fourth Proportional to 782.42, 1,079.10 and 561.49

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Solution

The fourth proportional to 782.42, 1,079.10 and 561.49 is: 774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.42 : 1,079.10 = 561.49 : x
  2. Step 2: Convert to fraction form
    782.42/1,079.10 = 561.49/x
  3. Step 3: Cross multiply
    782.42x = 1,079.10 × 561.49
  4. Step 4: Simplify right side
    782.42x = 605,905.21
  5. Step 5: Solve for x
    x = 605,905.21/782.42
  6. Step 6: Final answer
    x = 774.40

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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.