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Finding the Fourth Proportional to 1,009.41, 1,513.69 and 384.60

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Solution

The fourth proportional to 1,009.41, 1,513.69 and 384.60 is: 576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.41 : 1,513.69 = 384.60 : x
  2. Step 2: Convert to fraction form
    1,009.41/1,513.69 = 384.60/x
  3. Step 3: Cross multiply
    1,009.41x = 1,513.69 × 384.60
  4. Step 4: Simplify right side
    1,009.41x = 582,163.25
  5. Step 5: Solve for x
    x = 582,163.25/1,009.41
  6. Step 6: Final answer
    x = 576.74

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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.