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Finding the Fourth Proportional to 1,429.63, 1,972.68 and 800.07

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Solution

The fourth proportional to 1,429.63, 1,972.68 and 800.07 is: 1,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.63 : 1,972.68 = 800.07 : x
  2. Step 2: Convert to fraction form
    1,429.63/1,972.68 = 800.07/x
  3. Step 3: Cross multiply
    1,429.63x = 1,972.68 × 800.07
  4. Step 4: Simplify right side
    1,429.63x = 1,578,282.09
  5. Step 5: Solve for x
    x = 1,578,282.09/1,429.63
  6. Step 6: Final answer
    x = 1,103.98

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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.