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Finding the Fourth Proportional to 1,110.07, 1,664.46 and 460.07

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Solution

The fourth proportional to 1,110.07, 1,664.46 and 460.07 is: 689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.07 : 1,664.46 = 460.07 : x
  2. Step 2: Convert to fraction form
    1,110.07/1,664.46 = 460.07/x
  3. Step 3: Cross multiply
    1,110.07x = 1,664.46 × 460.07
  4. Step 4: Simplify right side
    1,110.07x = 765,768.11
  5. Step 5: Solve for x
    x = 765,768.11/1,110.07
  6. Step 6: Final answer
    x = 689.84

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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.