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Finding the Fourth Proportional to 1,294.33, 1,783.86 and 1,056.74

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Solution

The fourth proportional to 1,294.33, 1,783.86 and 1,056.74 is: 1,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.33 : 1,783.86 = 1,056.74 : x
  2. Step 2: Convert to fraction form
    1,294.33/1,783.86 = 1,056.74/x
  3. Step 3: Cross multiply
    1,294.33x = 1,783.86 × 1,056.74
  4. Step 4: Simplify right side
    1,294.33x = 1,885,081.36
  5. Step 5: Solve for x
    x = 1,885,081.36/1,294.33
  6. Step 6: Final answer
    x = 1,456.42

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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.