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Finding the Fourth Proportional to 1,024.00, 1,413.08 and 626.33

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Solution

The fourth proportional to 1,024.00, 1,413.08 and 626.33 is: 864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.00 : 1,413.08 = 626.33 : x
  2. Step 2: Convert to fraction form
    1,024.00/1,413.08 = 626.33/x
  3. Step 3: Cross multiply
    1,024.00x = 1,413.08 × 626.33
  4. Step 4: Simplify right side
    1,024.00x = 885,050.11
  5. Step 5: Solve for x
    x = 885,050.11/1,024.00
  6. Step 6: Final answer
    x = 864.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.