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Finding the Fourth Proportional to 1,033.47, 1,549.83 and 339.96

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Solution

The fourth proportional to 1,033.47, 1,549.83 and 339.96 is: 509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.47 : 1,549.83 = 339.96 : x
  2. Step 2: Convert to fraction form
    1,033.47/1,549.83 = 339.96/x
  3. Step 3: Cross multiply
    1,033.47x = 1,549.83 × 339.96
  4. Step 4: Simplify right side
    1,033.47x = 526,880.21
  5. Step 5: Solve for x
    x = 526,880.21/1,033.47
  6. Step 6: Final answer
    x = 509.82

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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.