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Finding the Fourth Proportional to 1,286.66, 1,929.98 and 464.63

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Solution

The fourth proportional to 1,286.66, 1,929.98 and 464.63 is: 696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.66 : 1,929.98 = 464.63 : x
  2. Step 2: Convert to fraction form
    1,286.66/1,929.98 = 464.63/x
  3. Step 3: Cross multiply
    1,286.66x = 1,929.98 × 464.63
  4. Step 4: Simplify right side
    1,286.66x = 896,718.12
  5. Step 5: Solve for x
    x = 896,718.12/1,286.66
  6. Step 6: Final answer
    x = 696.93

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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.