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Finding the Fourth Proportional to 1,033.30, 1,550.29 and 339.94

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Solution

The fourth proportional to 1,033.30, 1,550.29 and 339.94 is: 510.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.30 : 1,550.29 = 339.94 : x
  2. Step 2: Convert to fraction form
    1,033.30/1,550.29 = 339.94/x
  3. Step 3: Cross multiply
    1,033.30x = 1,550.29 × 339.94
  4. Step 4: Simplify right side
    1,033.30x = 527,005.58
  5. Step 5: Solve for x
    x = 527,005.58/1,033.30
  6. Step 6: Final answer
    x = 510.02

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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.