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Finding the Fourth Proportional to 1,022.99, 1,541.60 and 925.55

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Solution

The fourth proportional to 1,022.99, 1,541.60 and 925.55 is: 1,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.99 : 1,541.60 = 925.55 : x
  2. Step 2: Convert to fraction form
    1,022.99/1,541.60 = 925.55/x
  3. Step 3: Cross multiply
    1,022.99x = 1,541.60 × 925.55
  4. Step 4: Simplify right side
    1,022.99x = 1,426,827.88
  5. Step 5: Solve for x
    x = 1,426,827.88/1,022.99
  6. Step 6: Final answer
    x = 1,394.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.