Home / 1,064.07-1,596.09-294.57

Finding the Fourth Proportional to 1,064.07, 1,596.09 and 294.57

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Solution

The fourth proportional to 1,064.07, 1,596.09 and 294.57 is: 441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.07 : 1,596.09 = 294.57 : x
  2. Step 2: Convert to fraction form
    1,064.07/1,596.09 = 294.57/x
  3. Step 3: Cross multiply
    1,064.07x = 1,596.09 × 294.57
  4. Step 4: Simplify right side
    1,064.07x = 470,160.23
  5. Step 5: Solve for x
    x = 470,160.23/1,064.07
  6. Step 6: Final answer
    x = 441.85

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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.