Home / 1,208.24-1,812.12-477.08

Finding the Fourth Proportional to 1,208.24, 1,812.12 and 477.08

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Solution

The fourth proportional to 1,208.24, 1,812.12 and 477.08 is: 715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.24 : 1,812.12 = 477.08 : x
  2. Step 2: Convert to fraction form
    1,208.24/1,812.12 = 477.08/x
  3. Step 3: Cross multiply
    1,208.24x = 1,812.12 × 477.08
  4. Step 4: Simplify right side
    1,208.24x = 864,526.21
  5. Step 5: Solve for x
    x = 864,526.21/1,208.24
  6. Step 6: Final answer
    x = 715.53

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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.