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Finding the Fourth Proportional to 1,064.89, 1,596.10 and 415.07

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Solution

The fourth proportional to 1,064.89, 1,596.10 and 415.07 is: 622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.89 : 1,596.10 = 415.07 : x
  2. Step 2: Convert to fraction form
    1,064.89/1,596.10 = 415.07/x
  3. Step 3: Cross multiply
    1,064.89x = 1,596.10 × 415.07
  4. Step 4: Simplify right side
    1,064.89x = 662,493.23
  5. Step 5: Solve for x
    x = 662,493.23/1,064.89
  6. Step 6: Final answer
    x = 622.12

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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.