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Finding the Fourth Proportional to 1,070.24, 1,612.90 and 967.64

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Solution

The fourth proportional to 1,070.24, 1,612.90 and 967.64 is: 1,458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.24 : 1,612.90 = 967.64 : x
  2. Step 2: Convert to fraction form
    1,070.24/1,612.90 = 967.64/x
  3. Step 3: Cross multiply
    1,070.24x = 1,612.90 × 967.64
  4. Step 4: Simplify right side
    1,070.24x = 1,560,706.56
  5. Step 5: Solve for x
    x = 1,560,706.56/1,070.24
  6. Step 6: Final answer
    x = 1,458.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.