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Finding the Fourth Proportional to 1,088.46, 1,496.55 and 969.33

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Solution

The fourth proportional to 1,088.46, 1,496.55 and 969.33 is: 1,332.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.46 : 1,496.55 = 969.33 : x
  2. Step 2: Convert to fraction form
    1,088.46/1,496.55 = 969.33/x
  3. Step 3: Cross multiply
    1,088.46x = 1,496.55 × 969.33
  4. Step 4: Simplify right side
    1,088.46x = 1,450,650.81
  5. Step 5: Solve for x
    x = 1,450,650.81/1,088.46
  6. Step 6: Final answer
    x = 1,332.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.