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Finding the Fourth Proportional to 1,429.94, 1,972.04 and 964.82

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Solution

The fourth proportional to 1,429.94, 1,972.04 and 964.82 is: 1,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.94 : 1,972.04 = 964.82 : x
  2. Step 2: Convert to fraction form
    1,429.94/1,972.04 = 964.82/x
  3. Step 3: Cross multiply
    1,429.94x = 1,972.04 × 964.82
  4. Step 4: Simplify right side
    1,429.94x = 1,902,663.63
  5. Step 5: Solve for x
    x = 1,902,663.63/1,429.94
  6. Step 6: Final answer
    x = 1,330.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.