Home / 1,413.11-2,118.15-535.20

Finding the Fourth Proportional to 1,413.11, 2,118.15 and 535.20

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Solution

The fourth proportional to 1,413.11, 2,118.15 and 535.20 is: 802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.11 : 2,118.15 = 535.20 : x
  2. Step 2: Convert to fraction form
    1,413.11/2,118.15 = 535.20/x
  3. Step 3: Cross multiply
    1,413.11x = 2,118.15 × 535.20
  4. Step 4: Simplify right side
    1,413.11x = 1,133,633.88
  5. Step 5: Solve for x
    x = 1,133,633.88/1,413.11
  6. Step 6: Final answer
    x = 802.23

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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.