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Finding the Fourth Proportional to 1,294.68, 1,942.02 and 429.06

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Solution

The fourth proportional to 1,294.68, 1,942.02 and 429.06 is: 643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.68 : 1,942.02 = 429.06 : x
  2. Step 2: Convert to fraction form
    1,294.68/1,942.02 = 429.06/x
  3. Step 3: Cross multiply
    1,294.68x = 1,942.02 × 429.06
  4. Step 4: Simplify right side
    1,294.68x = 833,243.10
  5. Step 5: Solve for x
    x = 833,243.10/1,294.68
  6. Step 6: Final answer
    x = 643.59

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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.