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Finding the Fourth Proportional to 1,141.11, 1,573.59 and 1,024.89

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Solution

The fourth proportional to 1,141.11, 1,573.59 and 1,024.89 is: 1,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.11 : 1,573.59 = 1,024.89 : x
  2. Step 2: Convert to fraction form
    1,141.11/1,573.59 = 1,024.89/x
  3. Step 3: Cross multiply
    1,141.11x = 1,573.59 × 1,024.89
  4. Step 4: Simplify right side
    1,141.11x = 1,612,756.66
  5. Step 5: Solve for x
    x = 1,612,756.66/1,141.11
  6. Step 6: Final answer
    x = 1,413.32

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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.