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Finding the Fourth Proportional to 1,139.58, 1,708.47 and 446.13

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Solution

The fourth proportional to 1,139.58, 1,708.47 and 446.13 is: 668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.58 : 1,708.47 = 446.13 : x
  2. Step 2: Convert to fraction form
    1,139.58/1,708.47 = 446.13/x
  3. Step 3: Cross multiply
    1,139.58x = 1,708.47 × 446.13
  4. Step 4: Simplify right side
    1,139.58x = 762,199.72
  5. Step 5: Solve for x
    x = 762,199.72/1,139.58
  6. Step 6: Final answer
    x = 668.84

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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.