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Finding the Fourth Proportional to 708.19, 1,060.29 and 399.49

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Solution

The fourth proportional to 708.19, 1,060.29 and 399.49 is: 598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.19 : 1,060.29 = 399.49 : x
  2. Step 2: Convert to fraction form
    708.19/1,060.29 = 399.49/x
  3. Step 3: Cross multiply
    708.19x = 1,060.29 × 399.49
  4. Step 4: Simplify right side
    708.19x = 423,575.25
  5. Step 5: Solve for x
    x = 423,575.25/708.19
  6. Step 6: Final answer
    x = 598.11

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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.