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Finding the Fourth Proportional to 1,110.84, 1,666.28 and 341.34

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Solution

The fourth proportional to 1,110.84, 1,666.28 and 341.34 is: 512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.84 : 1,666.28 = 341.34 : x
  2. Step 2: Convert to fraction form
    1,110.84/1,666.28 = 341.34/x
  3. Step 3: Cross multiply
    1,110.84x = 1,666.28 × 341.34
  4. Step 4: Simplify right side
    1,110.84x = 568,768.02
  5. Step 5: Solve for x
    x = 568,768.02/1,110.84
  6. Step 6: Final answer
    x = 512.02

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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.