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Finding the Fourth Proportional to 1,033.01, 1,549.34 and 339.69

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Solution

The fourth proportional to 1,033.01, 1,549.34 and 339.69 is: 509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.01 : 1,549.34 = 339.69 : x
  2. Step 2: Convert to fraction form
    1,033.01/1,549.34 = 339.69/x
  3. Step 3: Cross multiply
    1,033.01x = 1,549.34 × 339.69
  4. Step 4: Simplify right side
    1,033.01x = 526,293.61
  5. Step 5: Solve for x
    x = 526,293.61/1,033.01
  6. Step 6: Final answer
    x = 509.47

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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.