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Finding the Fourth Proportional to 1,277.96, 1,917.11 and 456.32

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Solution

The fourth proportional to 1,277.96, 1,917.11 and 456.32 is: 684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.96 : 1,917.11 = 456.32 : x
  2. Step 2: Convert to fraction form
    1,277.96/1,917.11 = 456.32/x
  3. Step 3: Cross multiply
    1,277.96x = 1,917.11 × 456.32
  4. Step 4: Simplify right side
    1,277.96x = 874,803.77
  5. Step 5: Solve for x
    x = 874,803.77/1,277.96
  6. Step 6: Final answer
    x = 684.53

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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.