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Finding the Fourth Proportional to 1,089.66, 1,503.59 and 696.41

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Solution

The fourth proportional to 1,089.66, 1,503.59 and 696.41 is: 960.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.66 : 1,503.59 = 696.41 : x
  2. Step 2: Convert to fraction form
    1,089.66/1,503.59 = 696.41/x
  3. Step 3: Cross multiply
    1,089.66x = 1,503.59 × 696.41
  4. Step 4: Simplify right side
    1,089.66x = 1,047,104.11
  5. Step 5: Solve for x
    x = 1,047,104.11/1,089.66
  6. Step 6: Final answer
    x = 960.95

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Why These Related Problems?

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