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Finding the Fourth Proportional to 1,114.15, 1,670.91 and 334.12

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Solution

The fourth proportional to 1,114.15, 1,670.91 and 334.12 is: 501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.15 : 1,670.91 = 334.12 : x
  2. Step 2: Convert to fraction form
    1,114.15/1,670.91 = 334.12/x
  3. Step 3: Cross multiply
    1,114.15x = 1,670.91 × 334.12
  4. Step 4: Simplify right side
    1,114.15x = 558,284.45
  5. Step 5: Solve for x
    x = 558,284.45/1,114.15
  6. Step 6: Final answer
    x = 501.09

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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.