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Finding the Fourth Proportional to 1,023.76, 1,413.02 and 651.26

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Solution

The fourth proportional to 1,023.76, 1,413.02 and 651.26 is: 898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.76 : 1,413.02 = 651.26 : x
  2. Step 2: Convert to fraction form
    1,023.76/1,413.02 = 651.26/x
  3. Step 3: Cross multiply
    1,023.76x = 1,413.02 × 651.26
  4. Step 4: Simplify right side
    1,023.76x = 920,243.41
  5. Step 5: Solve for x
    x = 920,243.41/1,023.76
  6. Step 6: Final answer
    x = 898.89

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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.