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Finding the Fourth Proportional to 1,029.77, 1,544.65 and 336.91

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Solution

The fourth proportional to 1,029.77, 1,544.65 and 336.91 is: 505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.77 : 1,544.65 = 336.91 : x
  2. Step 2: Convert to fraction form
    1,029.77/1,544.65 = 336.91/x
  3. Step 3: Cross multiply
    1,029.77x = 1,544.65 × 336.91
  4. Step 4: Simplify right side
    1,029.77x = 520,408.03
  5. Step 5: Solve for x
    x = 520,408.03/1,029.77
  6. Step 6: Final answer
    x = 505.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.