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Finding the Fourth Proportional to 777.03, 1,164.17 and 692.28

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Solution

The fourth proportional to 777.03, 1,164.17 and 692.28 is: 1,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.03 : 1,164.17 = 692.28 : x
  2. Step 2: Convert to fraction form
    777.03/1,164.17 = 692.28/x
  3. Step 3: Cross multiply
    777.03x = 1,164.17 × 692.28
  4. Step 4: Simplify right side
    777.03x = 805,933.34
  5. Step 5: Solve for x
    x = 805,933.34/777.03
  6. Step 6: Final answer
    x = 1,037.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.