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Finding the Fourth Proportional to 1,339.00, 2,008.51 and 414.77

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Solution

The fourth proportional to 1,339.00, 2,008.51 and 414.77 is: 622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.00 : 2,008.51 = 414.77 : x
  2. Step 2: Convert to fraction form
    1,339.00/2,008.51 = 414.77/x
  3. Step 3: Cross multiply
    1,339.00x = 2,008.51 × 414.77
  4. Step 4: Simplify right side
    1,339.00x = 833,058.61
  5. Step 5: Solve for x
    x = 833,058.61/1,339.00
  6. Step 6: Final answer
    x = 622.15

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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.