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Finding the Fourth Proportional to 1,293.56, 1,783.56 and 1,056.63

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Solution

The fourth proportional to 1,293.56, 1,783.56 and 1,056.63 is: 1,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.56 : 1,783.56 = 1,056.63 : x
  2. Step 2: Convert to fraction form
    1,293.56/1,783.56 = 1,056.63/x
  3. Step 3: Cross multiply
    1,293.56x = 1,783.56 × 1,056.63
  4. Step 4: Simplify right side
    1,293.56x = 1,884,563.00
  5. Step 5: Solve for x
    x = 1,884,563.00/1,293.56
  6. Step 6: Final answer
    x = 1,456.89

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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.