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Finding the Fourth Proportional to 1,277.79, 1,917.02 and 456.12

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Solution

The fourth proportional to 1,277.79, 1,917.02 and 456.12 is: 684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.79 : 1,917.02 = 456.12 : x
  2. Step 2: Convert to fraction form
    1,277.79/1,917.02 = 456.12/x
  3. Step 3: Cross multiply
    1,277.79x = 1,917.02 × 456.12
  4. Step 4: Simplify right side
    1,277.79x = 874,392.30
  5. Step 5: Solve for x
    x = 874,392.30/1,277.79
  6. Step 6: Final answer
    x = 684.30

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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.