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Finding the Fourth Proportional to 1,145.90, 1,581.30 and 621.92

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Solution

The fourth proportional to 1,145.90, 1,581.30 and 621.92 is: 858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.90 : 1,581.30 = 621.92 : x
  2. Step 2: Convert to fraction form
    1,145.90/1,581.30 = 621.92/x
  3. Step 3: Cross multiply
    1,145.90x = 1,581.30 × 621.92
  4. Step 4: Simplify right side
    1,145.90x = 983,442.10
  5. Step 5: Solve for x
    x = 983,442.10/1,145.90
  6. Step 6: Final answer
    x = 858.23

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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.