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Finding the Fourth Proportional to 760.28, 1,135.49 and 692.24

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Solution

The fourth proportional to 760.28, 1,135.49 and 692.24 is: 1,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.28 : 1,135.49 = 692.24 : x
  2. Step 2: Convert to fraction form
    760.28/1,135.49 = 692.24/x
  3. Step 3: Cross multiply
    760.28x = 1,135.49 × 692.24
  4. Step 4: Simplify right side
    760.28x = 786,022.46
  5. Step 5: Solve for x
    x = 786,022.46/760.28
  6. Step 6: Final answer
    x = 1,033.87

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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.