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Finding the Fourth Proportional to 1,065.72, 1,599.44 and 942.64

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Solution

The fourth proportional to 1,065.72, 1,599.44 and 942.64 is: 1,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.72 : 1,599.44 = 942.64 : x
  2. Step 2: Convert to fraction form
    1,065.72/1,599.44 = 942.64/x
  3. Step 3: Cross multiply
    1,065.72x = 1,599.44 × 942.64
  4. Step 4: Simplify right side
    1,065.72x = 1,507,696.12
  5. Step 5: Solve for x
    x = 1,507,696.12/1,065.72
  6. Step 6: Final answer
    x = 1,414.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.