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Finding the Fourth Proportional to 1,330.42, 1,995.64 and 464.74

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Solution

The fourth proportional to 1,330.42, 1,995.64 and 464.74 is: 697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.42 : 1,995.64 = 464.74 : x
  2. Step 2: Convert to fraction form
    1,330.42/1,995.64 = 464.74/x
  3. Step 3: Cross multiply
    1,330.42x = 1,995.64 × 464.74
  4. Step 4: Simplify right side
    1,330.42x = 927,453.73
  5. Step 5: Solve for x
    x = 927,453.73/1,330.42
  6. Step 6: Final answer
    x = 697.11

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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.