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Finding the Fourth Proportional to 1,024.55, 1,413.90 and 626.28

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Solution

The fourth proportional to 1,024.55, 1,413.90 and 626.28 is: 864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.55 : 1,413.90 = 626.28 : x
  2. Step 2: Convert to fraction form
    1,024.55/1,413.90 = 626.28/x
  3. Step 3: Cross multiply
    1,024.55x = 1,413.90 × 626.28
  4. Step 4: Simplify right side
    1,024.55x = 885,490.22
  5. Step 5: Solve for x
    x = 885,490.22/1,024.55
  6. Step 6: Final answer
    x = 864.28

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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.