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Finding the Fourth Proportional to 713.99, 1,071.19 and 440.41

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Solution

The fourth proportional to 713.99, 1,071.19 and 440.41 is: 660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.99 : 1,071.19 = 440.41 : x
  2. Step 2: Convert to fraction form
    713.99/1,071.19 = 440.41/x
  3. Step 3: Cross multiply
    713.99x = 1,071.19 × 440.41
  4. Step 4: Simplify right side
    713.99x = 471,762.79
  5. Step 5: Solve for x
    x = 471,762.79/713.99
  6. Step 6: Final answer
    x = 660.74

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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.