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Finding the Fourth Proportional to 756.58, 1,128.22 and 696.74

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Solution

The fourth proportional to 756.58, 1,128.22 and 696.74 is: 1,038.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.58 : 1,128.22 = 696.74 : x
  2. Step 2: Convert to fraction form
    756.58/1,128.22 = 696.74/x
  3. Step 3: Cross multiply
    756.58x = 1,128.22 × 696.74
  4. Step 4: Simplify right side
    756.58x = 786,076.00
  5. Step 5: Solve for x
    x = 786,076.00/756.58
  6. Step 6: Final answer
    x = 1,038.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.