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Finding the Fourth Proportional to 784.62, 1,075.77 and 770.85

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Solution

The fourth proportional to 784.62, 1,075.77 and 770.85 is: 1,056.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.62 : 1,075.77 = 770.85 : x
  2. Step 2: Convert to fraction form
    784.62/1,075.77 = 770.85/x
  3. Step 3: Cross multiply
    784.62x = 1,075.77 × 770.85
  4. Step 4: Simplify right side
    784.62x = 829,257.30
  5. Step 5: Solve for x
    x = 829,257.30/784.62
  6. Step 6: Final answer
    x = 1,056.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.