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Finding the Fourth Proportional to 1,573.58, 2,362.19 and 844.58

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Solution

The fourth proportional to 1,573.58, 2,362.19 and 844.58 is: 1,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.58 : 2,362.19 = 844.58 : x
  2. Step 2: Convert to fraction form
    1,573.58/2,362.19 = 844.58/x
  3. Step 3: Cross multiply
    1,573.58x = 2,362.19 × 844.58
  4. Step 4: Simplify right side
    1,573.58x = 1,995,042.40
  5. Step 5: Solve for x
    x = 1,995,042.40/1,573.58
  6. Step 6: Final answer
    x = 1,267.84

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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.