Home / 1,286.51-1,929.80-464.67

Finding the Fourth Proportional to 1,286.51, 1,929.80 and 464.67

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Solution

The fourth proportional to 1,286.51, 1,929.80 and 464.67 is: 697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.51 : 1,929.80 = 464.67 : x
  2. Step 2: Convert to fraction form
    1,286.51/1,929.80 = 464.67/x
  3. Step 3: Cross multiply
    1,286.51x = 1,929.80 × 464.67
  4. Step 4: Simplify right side
    1,286.51x = 896,721.33
  5. Step 5: Solve for x
    x = 896,721.33/1,286.51
  6. Step 6: Final answer
    x = 697.02

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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.