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Finding the Fourth Proportional to 1,429.36, 1,972.61 and 839.99

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Solution

The fourth proportional to 1,429.36, 1,972.61 and 839.99 is: 1,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.36 : 1,972.61 = 839.99 : x
  2. Step 2: Convert to fraction form
    1,429.36/1,972.61 = 839.99/x
  3. Step 3: Cross multiply
    1,429.36x = 1,972.61 × 839.99
  4. Step 4: Simplify right side
    1,429.36x = 1,656,972.67
  5. Step 5: Solve for x
    x = 1,656,972.67/1,429.36
  6. Step 6: Final answer
    x = 1,159.24

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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.