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Finding the Fourth Proportional to 1,064.46, 1,596.36 and 479.12

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Solution

The fourth proportional to 1,064.46, 1,596.36 and 479.12 is: 718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.46 : 1,596.36 = 479.12 : x
  2. Step 2: Convert to fraction form
    1,064.46/1,596.36 = 479.12/x
  3. Step 3: Cross multiply
    1,064.46x = 1,596.36 × 479.12
  4. Step 4: Simplify right side
    1,064.46x = 764,848.00
  5. Step 5: Solve for x
    x = 764,848.00/1,064.46
  6. Step 6: Final answer
    x = 718.53

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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.