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Finding the Fourth Proportional to 1,150.04, 1,722.67 and 954.58

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Solution

The fourth proportional to 1,150.04, 1,722.67 and 954.58 is: 1,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.04 : 1,722.67 = 954.58 : x
  2. Step 2: Convert to fraction form
    1,150.04/1,722.67 = 954.58/x
  3. Step 3: Cross multiply
    1,150.04x = 1,722.67 × 954.58
  4. Step 4: Simplify right side
    1,150.04x = 1,644,426.33
  5. Step 5: Solve for x
    x = 1,644,426.33/1,150.04
  6. Step 6: Final answer
    x = 1,429.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.