Home / 1,024.14-1,413.30-558.36

Finding the Fourth Proportional to 1,024.14, 1,413.30 and 558.36

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Solution

The fourth proportional to 1,024.14, 1,413.30 and 558.36 is: 770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.14 : 1,413.30 = 558.36 : x
  2. Step 2: Convert to fraction form
    1,024.14/1,413.30 = 558.36/x
  3. Step 3: Cross multiply
    1,024.14x = 1,413.30 × 558.36
  4. Step 4: Simplify right side
    1,024.14x = 789,130.19
  5. Step 5: Solve for x
    x = 789,130.19/1,024.14
  6. Step 6: Final answer
    x = 770.53

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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.