Home / 1,118.24-1,676.96-459.93

Finding the Fourth Proportional to 1,118.24, 1,676.96 and 459.93

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Solution

The fourth proportional to 1,118.24, 1,676.96 and 459.93 is: 689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.24 : 1,676.96 = 459.93 : x
  2. Step 2: Convert to fraction form
    1,118.24/1,676.96 = 459.93/x
  3. Step 3: Cross multiply
    1,118.24x = 1,676.96 × 459.93
  4. Step 4: Simplify right side
    1,118.24x = 771,273.53
  5. Step 5: Solve for x
    x = 771,273.53/1,118.24
  6. Step 6: Final answer
    x = 689.72

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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.