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Finding the Fourth Proportional to 1,138.14, 1,707.54 and 407.77

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Solution

The fourth proportional to 1,138.14, 1,707.54 and 407.77 is: 611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.14 : 1,707.54 = 407.77 : x
  2. Step 2: Convert to fraction form
    1,138.14/1,707.54 = 407.77/x
  3. Step 3: Cross multiply
    1,138.14x = 1,707.54 × 407.77
  4. Step 4: Simplify right side
    1,138.14x = 696,277.79
  5. Step 5: Solve for x
    x = 696,277.79/1,138.14
  6. Step 6: Final answer
    x = 611.77

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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.