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Finding the Fourth Proportional to 770.92, 1,064.01 and 561.40

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Solution

The fourth proportional to 770.92, 1,064.01 and 561.40 is: 774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.92 : 1,064.01 = 561.40 : x
  2. Step 2: Convert to fraction form
    770.92/1,064.01 = 561.40/x
  3. Step 3: Cross multiply
    770.92x = 1,064.01 × 561.40
  4. Step 4: Simplify right side
    770.92x = 597,335.21
  5. Step 5: Solve for x
    x = 597,335.21/770.92
  6. Step 6: Final answer
    x = 774.83

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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.