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Finding the Fourth Proportional to 1,429.80, 2,141.30 and 697.02

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Solution

The fourth proportional to 1,429.80, 2,141.30 and 697.02 is: 1,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.80 : 2,141.30 = 697.02 : x
  2. Step 2: Convert to fraction form
    1,429.80/2,141.30 = 697.02/x
  3. Step 3: Cross multiply
    1,429.80x = 2,141.30 × 697.02
  4. Step 4: Simplify right side
    1,429.80x = 1,492,528.93
  5. Step 5: Solve for x
    x = 1,492,528.93/1,429.80
  6. Step 6: Final answer
    x = 1,043.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.