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Finding the Fourth Proportional to 1,029.47, 1,546.07 and 947.05

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Solution

The fourth proportional to 1,029.47, 1,546.07 and 947.05 is: 1,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.47 : 1,546.07 = 947.05 : x
  2. Step 2: Convert to fraction form
    1,029.47/1,546.07 = 947.05/x
  3. Step 3: Cross multiply
    1,029.47x = 1,546.07 × 947.05
  4. Step 4: Simplify right side
    1,029.47x = 1,464,196.99
  5. Step 5: Solve for x
    x = 1,464,196.99/1,029.47
  6. Step 6: Final answer
    x = 1,422.29

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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.