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Finding the Fourth Proportional to 1,024.25, 1,413.50 and 558.53

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Solution

The fourth proportional to 1,024.25, 1,413.50 and 558.53 is: 770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.25 : 1,413.50 = 558.53 : x
  2. Step 2: Convert to fraction form
    1,024.25/1,413.50 = 558.53/x
  3. Step 3: Cross multiply
    1,024.25x = 1,413.50 × 558.53
  4. Step 4: Simplify right side
    1,024.25x = 789,482.16
  5. Step 5: Solve for x
    x = 789,482.16/1,024.25
  6. Step 6: Final answer
    x = 770.79

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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.