Home / 1,413.76-2,117.55-864.28

Finding the Fourth Proportional to 1,413.76, 2,117.55 and 864.28

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Solution

The fourth proportional to 1,413.76, 2,117.55 and 864.28 is: 1,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.76 : 2,117.55 = 864.28 : x
  2. Step 2: Convert to fraction form
    1,413.76/2,117.55 = 864.28/x
  3. Step 3: Cross multiply
    1,413.76x = 2,117.55 × 864.28
  4. Step 4: Simplify right side
    1,413.76x = 1,830,145.53
  5. Step 5: Solve for x
    x = 1,830,145.53/1,413.76
  6. Step 6: Final answer
    x = 1,294.53

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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.