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Finding the Fourth Proportional to 1,064.66, 1,596.76 and 284.63

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Solution

The fourth proportional to 1,064.66, 1,596.76 and 284.63 is: 426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.66 : 1,596.76 = 284.63 : x
  2. Step 2: Convert to fraction form
    1,064.66/1,596.76 = 284.63/x
  3. Step 3: Cross multiply
    1,064.66x = 1,596.76 × 284.63
  4. Step 4: Simplify right side
    1,064.66x = 454,485.80
  5. Step 5: Solve for x
    x = 454,485.80/1,064.66
  6. Step 6: Final answer
    x = 426.88

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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.