Home / 1,208.19-1,811.01-476.76

Finding the Fourth Proportional to 1,208.19, 1,811.01 and 476.76

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Solution

The fourth proportional to 1,208.19, 1,811.01 and 476.76 is: 714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.19 : 1,811.01 = 476.76 : x
  2. Step 2: Convert to fraction form
    1,208.19/1,811.01 = 476.76/x
  3. Step 3: Cross multiply
    1,208.19x = 1,811.01 × 476.76
  4. Step 4: Simplify right side
    1,208.19x = 863,417.13
  5. Step 5: Solve for x
    x = 863,417.13/1,208.19
  6. Step 6: Final answer
    x = 714.64

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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.