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Finding the Fourth Proportional to 1,110.08, 1,665.54 and 460.76

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Solution

The fourth proportional to 1,110.08, 1,665.54 and 460.76 is: 691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.08 : 1,665.54 = 460.76 : x
  2. Step 2: Convert to fraction form
    1,110.08/1,665.54 = 460.76/x
  3. Step 3: Cross multiply
    1,110.08x = 1,665.54 × 460.76
  4. Step 4: Simplify right side
    1,110.08x = 767,414.21
  5. Step 5: Solve for x
    x = 767,414.21/1,110.08
  6. Step 6: Final answer
    x = 691.31

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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.