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Finding the Fourth Proportional to 1,138.14, 1,707.48 and 407.66

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Solution

The fourth proportional to 1,138.14, 1,707.48 and 407.66 is: 611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.14 : 1,707.48 = 407.66 : x
  2. Step 2: Convert to fraction form
    1,138.14/1,707.48 = 407.66/x
  3. Step 3: Cross multiply
    1,138.14x = 1,707.48 × 407.66
  4. Step 4: Simplify right side
    1,138.14x = 696,071.30
  5. Step 5: Solve for x
    x = 696,071.30/1,138.14
  6. Step 6: Final answer
    x = 611.59

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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.