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Finding the Fourth Proportional to 1,061.30, 1,590.60 and 541.43

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Solution

The fourth proportional to 1,061.30, 1,590.60 and 541.43 is: 811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.30 : 1,590.60 = 541.43 : x
  2. Step 2: Convert to fraction form
    1,061.30/1,590.60 = 541.43/x
  3. Step 3: Cross multiply
    1,061.30x = 1,590.60 × 541.43
  4. Step 4: Simplify right side
    1,061.30x = 861,190.61
  5. Step 5: Solve for x
    x = 861,190.61/1,061.30
  6. Step 6: Final answer
    x = 811.45

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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.