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Finding the Fourth Proportional to 1,064.03, 1,596.04 and 294.53

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Solution

The fourth proportional to 1,064.03, 1,596.04 and 294.53 is: 441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.03 : 1,596.04 = 294.53 : x
  2. Step 2: Convert to fraction form
    1,064.03/1,596.04 = 294.53/x
  3. Step 3: Cross multiply
    1,064.03x = 1,596.04 × 294.53
  4. Step 4: Simplify right side
    1,064.03x = 470,078.41
  5. Step 5: Solve for x
    x = 470,078.41/1,064.03
  6. Step 6: Final answer
    x = 441.79

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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.