Home / 1,567.32-2,351.12-413.07

Finding the Fourth Proportional to 1,567.32, 2,351.12 and 413.07

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Solution

The fourth proportional to 1,567.32, 2,351.12 and 413.07 is: 619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.32 : 2,351.12 = 413.07 : x
  2. Step 2: Convert to fraction form
    1,567.32/2,351.12 = 413.07/x
  3. Step 3: Cross multiply
    1,567.32x = 2,351.12 × 413.07
  4. Step 4: Simplify right side
    1,567.32x = 971,175.07
  5. Step 5: Solve for x
    x = 971,175.07/1,567.32
  6. Step 6: Final answer
    x = 619.64

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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.