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Finding the Fourth Proportional to 1,294.36, 1,941.63 and 429.28

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Solution

The fourth proportional to 1,294.36, 1,941.63 and 429.28 is: 643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.36 : 1,941.63 = 429.28 : x
  2. Step 2: Convert to fraction form
    1,294.36/1,941.63 = 429.28/x
  3. Step 3: Cross multiply
    1,294.36x = 1,941.63 × 429.28
  4. Step 4: Simplify right side
    1,294.36x = 833,502.93
  5. Step 5: Solve for x
    x = 833,502.93/1,294.36
  6. Step 6: Final answer
    x = 643.95

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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.