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Finding the Fourth Proportional to 1,318.32, 1,977.75 and 440.91

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Solution

The fourth proportional to 1,318.32, 1,977.75 and 440.91 is: 661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.32 : 1,977.75 = 440.91 : x
  2. Step 2: Convert to fraction form
    1,318.32/1,977.75 = 440.91/x
  3. Step 3: Cross multiply
    1,318.32x = 1,977.75 × 440.91
  4. Step 4: Simplify right side
    1,318.32x = 872,009.75
  5. Step 5: Solve for x
    x = 872,009.75/1,318.32
  6. Step 6: Final answer
    x = 661.46

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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.