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Finding the Fourth Proportional to 1,049.23, 1,573.80 and 355.87

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Solution

The fourth proportional to 1,049.23, 1,573.80 and 355.87 is: 533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.23 : 1,573.80 = 355.87 : x
  2. Step 2: Convert to fraction form
    1,049.23/1,573.80 = 355.87/x
  3. Step 3: Cross multiply
    1,049.23x = 1,573.80 × 355.87
  4. Step 4: Simplify right side
    1,049.23x = 560,068.21
  5. Step 5: Solve for x
    x = 560,068.21/1,049.23
  6. Step 6: Final answer
    x = 533.79

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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.