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Finding the Fourth Proportional to 1,707.19, 2,558.32 and 976.97

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Solution

The fourth proportional to 1,707.19, 2,558.32 and 976.97 is: 1,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.19 : 2,558.32 = 976.97 : x
  2. Step 2: Convert to fraction form
    1,707.19/2,558.32 = 976.97/x
  3. Step 3: Cross multiply
    1,707.19x = 2,558.32 × 976.97
  4. Step 4: Simplify right side
    1,707.19x = 2,499,405.84
  5. Step 5: Solve for x
    x = 2,499,405.84/1,707.19
  6. Step 6: Final answer
    x = 1,464.05

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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.