Home / 1,413.24-2,118.26-534.90

Finding the Fourth Proportional to 1,413.24, 2,118.26 and 534.90

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Solution

The fourth proportional to 1,413.24, 2,118.26 and 534.90 is: 801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.24 : 2,118.26 = 534.90 : x
  2. Step 2: Convert to fraction form
    1,413.24/2,118.26 = 534.90/x
  3. Step 3: Cross multiply
    1,413.24x = 2,118.26 × 534.90
  4. Step 4: Simplify right side
    1,413.24x = 1,133,057.27
  5. Step 5: Solve for x
    x = 1,133,057.27/1,413.24
  6. Step 6: Final answer
    x = 801.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.