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Finding the Fourth Proportional to 1,294.74, 1,941.99 and 429.06

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Solution

The fourth proportional to 1,294.74, 1,941.99 and 429.06 is: 643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.74 : 1,941.99 = 429.06 : x
  2. Step 2: Convert to fraction form
    1,294.74/1,941.99 = 429.06/x
  3. Step 3: Cross multiply
    1,294.74x = 1,941.99 × 429.06
  4. Step 4: Simplify right side
    1,294.74x = 833,230.23
  5. Step 5: Solve for x
    x = 833,230.23/1,294.74
  6. Step 6: Final answer
    x = 643.55

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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.