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Finding the Fourth Proportional to 1,029.42, 1,544.14 and 823.72

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Solution

The fourth proportional to 1,029.42, 1,544.14 and 823.72 is: 1,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.42 : 1,544.14 = 823.72 : x
  2. Step 2: Convert to fraction form
    1,029.42/1,544.14 = 823.72/x
  3. Step 3: Cross multiply
    1,029.42x = 1,544.14 × 823.72
  4. Step 4: Simplify right side
    1,029.42x = 1,271,939.00
  5. Step 5: Solve for x
    x = 1,271,939.00/1,029.42
  6. Step 6: Final answer
    x = 1,235.59

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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.