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Finding the Fourth Proportional to 1,285.32, 1,931.64 and 636.51

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Solution

The fourth proportional to 1,285.32, 1,931.64 and 636.51 is: 956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.32 : 1,931.64 = 636.51 : x
  2. Step 2: Convert to fraction form
    1,285.32/1,931.64 = 636.51/x
  3. Step 3: Cross multiply
    1,285.32x = 1,931.64 × 636.51
  4. Step 4: Simplify right side
    1,285.32x = 1,229,508.18
  5. Step 5: Solve for x
    x = 1,229,508.18/1,285.32
  6. Step 6: Final answer
    x = 956.58

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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.