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Finding the Fourth Proportional to 1,064.56, 1,596.72 and 295.12

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Solution

The fourth proportional to 1,064.56, 1,596.72 and 295.12 is: 442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.56 : 1,596.72 = 295.12 : x
  2. Step 2: Convert to fraction form
    1,064.56/1,596.72 = 295.12/x
  3. Step 3: Cross multiply
    1,064.56x = 1,596.72 × 295.12
  4. Step 4: Simplify right side
    1,064.56x = 471,224.01
  5. Step 5: Solve for x
    x = 471,224.01/1,064.56
  6. Step 6: Final answer
    x = 442.65

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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.