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Finding the Fourth Proportional to 1,138.59, 1,707.93 and 407.90

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Solution

The fourth proportional to 1,138.59, 1,707.93 and 407.90 is: 611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.59 : 1,707.93 = 407.90 : x
  2. Step 2: Convert to fraction form
    1,138.59/1,707.93 = 407.90/x
  3. Step 3: Cross multiply
    1,138.59x = 1,707.93 × 407.90
  4. Step 4: Simplify right side
    1,138.59x = 696,668.92
  5. Step 5: Solve for x
    x = 696,668.92/1,138.59
  6. Step 6: Final answer
    x = 611.87

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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.