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Finding the Fourth Proportional to 1,023.53, 1,413.06 and 674.83

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Solution

The fourth proportional to 1,023.53, 1,413.06 and 674.83 is: 931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.53 : 1,413.06 = 674.83 : x
  2. Step 2: Convert to fraction form
    1,023.53/1,413.06 = 674.83/x
  3. Step 3: Cross multiply
    1,023.53x = 1,413.06 × 674.83
  4. Step 4: Simplify right side
    1,023.53x = 953,571.75
  5. Step 5: Solve for x
    x = 953,571.75/1,023.53
  6. Step 6: Final answer
    x = 931.65

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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.