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Finding the Fourth Proportional to 1,497.42, 2,247.05 and 573.08

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Solution

The fourth proportional to 1,497.42, 2,247.05 and 573.08 is: 859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.42 : 2,247.05 = 573.08 : x
  2. Step 2: Convert to fraction form
    1,497.42/2,247.05 = 573.08/x
  3. Step 3: Cross multiply
    1,497.42x = 2,247.05 × 573.08
  4. Step 4: Simplify right side
    1,497.42x = 1,287,729.61
  5. Step 5: Solve for x
    x = 1,287,729.61/1,497.42
  6. Step 6: Final answer
    x = 859.97

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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.