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Finding the Fourth Proportional to 1,288.08, 1,931.96 and 466.32

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Solution

The fourth proportional to 1,288.08, 1,931.96 and 466.32 is: 699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.08 : 1,931.96 = 466.32 : x
  2. Step 2: Convert to fraction form
    1,288.08/1,931.96 = 466.32/x
  3. Step 3: Cross multiply
    1,288.08x = 1,931.96 × 466.32
  4. Step 4: Simplify right side
    1,288.08x = 900,911.59
  5. Step 5: Solve for x
    x = 900,911.59/1,288.08
  6. Step 6: Final answer
    x = 699.42

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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.