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Finding the Fourth Proportional to 1,060.16, 1,589.75 and 540.45

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Solution

The fourth proportional to 1,060.16, 1,589.75 and 540.45 is: 810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.16 : 1,589.75 = 540.45 : x
  2. Step 2: Convert to fraction form
    1,060.16/1,589.75 = 540.45/x
  3. Step 3: Cross multiply
    1,060.16x = 1,589.75 × 540.45
  4. Step 4: Simplify right side
    1,060.16x = 859,176.76
  5. Step 5: Solve for x
    x = 859,176.76/1,060.16
  6. Step 6: Final answer
    x = 810.42

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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.