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Finding the Fourth Proportional to 1,024.19, 1,413.17 and 651.03

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Solution

The fourth proportional to 1,024.19, 1,413.17 and 651.03 is: 898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.19 : 1,413.17 = 651.03 : x
  2. Step 2: Convert to fraction form
    1,024.19/1,413.17 = 651.03/x
  3. Step 3: Cross multiply
    1,024.19x = 1,413.17 × 651.03
  4. Step 4: Simplify right side
    1,024.19x = 920,017.90
  5. Step 5: Solve for x
    x = 920,017.90/1,024.19
  6. Step 6: Final answer
    x = 898.29

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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.