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Finding the Fourth Proportional to 1,109.52, 1,529.45 and 912.69

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Solution

The fourth proportional to 1,109.52, 1,529.45 and 912.69 is: 1,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.52 : 1,529.45 = 912.69 : x
  2. Step 2: Convert to fraction form
    1,109.52/1,529.45 = 912.69/x
  3. Step 3: Cross multiply
    1,109.52x = 1,529.45 × 912.69
  4. Step 4: Simplify right side
    1,109.52x = 1,395,913.72
  5. Step 5: Solve for x
    x = 1,395,913.72/1,109.52
  6. Step 6: Final answer
    x = 1,258.12

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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.