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Finding the Fourth Proportional to 1,005.30, 1,506.06 and 968.82

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Solution

The fourth proportional to 1,005.30, 1,506.06 and 968.82 is: 1,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.30 : 1,506.06 = 968.82 : x
  2. Step 2: Convert to fraction form
    1,005.30/1,506.06 = 968.82/x
  3. Step 3: Cross multiply
    1,005.30x = 1,506.06 × 968.82
  4. Step 4: Simplify right side
    1,005.30x = 1,459,101.05
  5. Step 5: Solve for x
    x = 1,459,101.05/1,005.30
  6. Step 6: Final answer
    x = 1,451.41

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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.