Home / 1,110.41-1,666.27-461.14

Finding the Fourth Proportional to 1,110.41, 1,666.27 and 461.14

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Solution

The fourth proportional to 1,110.41, 1,666.27 and 461.14 is: 691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.41 : 1,666.27 = 461.14 : x
  2. Step 2: Convert to fraction form
    1,110.41/1,666.27 = 461.14/x
  3. Step 3: Cross multiply
    1,110.41x = 1,666.27 × 461.14
  4. Step 4: Simplify right side
    1,110.41x = 768,389.53
  5. Step 5: Solve for x
    x = 768,389.53/1,110.41
  6. Step 6: Final answer
    x = 691.99

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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.