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Finding the Fourth Proportional to 1,110.64, 1,665.93 and 341.14

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Solution

The fourth proportional to 1,110.64, 1,665.93 and 341.14 is: 511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.64 : 1,665.93 = 341.14 : x
  2. Step 2: Convert to fraction form
    1,110.64/1,665.93 = 341.14/x
  3. Step 3: Cross multiply
    1,110.64x = 1,665.93 × 341.14
  4. Step 4: Simplify right side
    1,110.64x = 568,315.36
  5. Step 5: Solve for x
    x = 568,315.36/1,110.64
  6. Step 6: Final answer
    x = 511.70

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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.