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Finding the Fourth Proportional to 1,023.11, 1,413.18 and 890.07

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Solution

The fourth proportional to 1,023.11, 1,413.18 and 890.07 is: 1,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.11 : 1,413.18 = 890.07 : x
  2. Step 2: Convert to fraction form
    1,023.11/1,413.18 = 890.07/x
  3. Step 3: Cross multiply
    1,023.11x = 1,413.18 × 890.07
  4. Step 4: Simplify right side
    1,023.11x = 1,257,829.12
  5. Step 5: Solve for x
    x = 1,257,829.12/1,023.11
  6. Step 6: Final answer
    x = 1,229.42

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1.5x scale

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.