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Finding the Fourth Proportional to 1,029.70, 1,544.55 and 927.30

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Solution

The fourth proportional to 1,029.70, 1,544.55 and 927.30 is: 1,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.70 : 1,544.55 = 927.30 : x
  2. Step 2: Convert to fraction form
    1,029.70/1,544.55 = 927.30/x
  3. Step 3: Cross multiply
    1,029.70x = 1,544.55 × 927.30
  4. Step 4: Simplify right side
    1,029.70x = 1,432,261.22
  5. Step 5: Solve for x
    x = 1,432,261.22/1,029.70
  6. Step 6: Final answer
    x = 1,390.95

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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.