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Finding the Fourth Proportional to 756.55, 1,045.85 and 694.28

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Solution

The fourth proportional to 756.55, 1,045.85 and 694.28 is: 959.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.55 : 1,045.85 = 694.28 : x
  2. Step 2: Convert to fraction form
    756.55/1,045.85 = 694.28/x
  3. Step 3: Cross multiply
    756.55x = 1,045.85 × 694.28
  4. Step 4: Simplify right side
    756.55x = 726,111.88
  5. Step 5: Solve for x
    x = 726,111.88/756.55
  6. Step 6: Final answer
    x = 959.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.