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Finding the Fourth Proportional to 1,065.23, 1,597.22 and 415.21

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Solution

The fourth proportional to 1,065.23, 1,597.22 and 415.21 is: 622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.23 : 1,597.22 = 415.21 : x
  2. Step 2: Convert to fraction form
    1,065.23/1,597.22 = 415.21/x
  3. Step 3: Cross multiply
    1,065.23x = 1,597.22 × 415.21
  4. Step 4: Simplify right side
    1,065.23x = 663,176.69
  5. Step 5: Solve for x
    x = 663,176.69/1,065.23
  6. Step 6: Final answer
    x = 622.57

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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.