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Finding the Fourth Proportional to 981.64, 1,354.50 and 650.51

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Solution

The fourth proportional to 981.64, 1,354.50 and 650.51 is: 897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.64 : 1,354.50 = 650.51 : x
  2. Step 2: Convert to fraction form
    981.64/1,354.50 = 650.51/x
  3. Step 3: Cross multiply
    981.64x = 1,354.50 × 650.51
  4. Step 4: Simplify right side
    981.64x = 881,116.74
  5. Step 5: Solve for x
    x = 881,116.74/981.64
  6. Step 6: Final answer
    x = 897.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.