Home / 1,146.32-1,719.80-713.76

Finding the Fourth Proportional to 1,146.32, 1,719.80 and 713.76

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Solution

The fourth proportional to 1,146.32, 1,719.80 and 713.76 is: 1,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.32 : 1,719.80 = 713.76 : x
  2. Step 2: Convert to fraction form
    1,146.32/1,719.80 = 713.76/x
  3. Step 3: Cross multiply
    1,146.32x = 1,719.80 × 713.76
  4. Step 4: Simplify right side
    1,146.32x = 1,227,524.45
  5. Step 5: Solve for x
    x = 1,227,524.45/1,146.32
  6. Step 6: Final answer
    x = 1,070.84

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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.