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Finding the Fourth Proportional to 1,030.83, 1,538.75 and 954.69

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Solution

The fourth proportional to 1,030.83, 1,538.75 and 954.69 is: 1,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.83 : 1,538.75 = 954.69 : x
  2. Step 2: Convert to fraction form
    1,030.83/1,538.75 = 954.69/x
  3. Step 3: Cross multiply
    1,030.83x = 1,538.75 × 954.69
  4. Step 4: Simplify right side
    1,030.83x = 1,469,029.24
  5. Step 5: Solve for x
    x = 1,469,029.24/1,030.83
  6. Step 6: Final answer
    x = 1,425.09

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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.