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Finding the Fourth Proportional to 1,442.92, 1,989.66 and 976.36

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Solution

The fourth proportional to 1,442.92, 1,989.66 and 976.36 is: 1,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.92 : 1,989.66 = 976.36 : x
  2. Step 2: Convert to fraction form
    1,442.92/1,989.66 = 976.36/x
  3. Step 3: Cross multiply
    1,442.92x = 1,989.66 × 976.36
  4. Step 4: Simplify right side
    1,442.92x = 1,942,624.44
  5. Step 5: Solve for x
    x = 1,942,624.44/1,442.92
  6. Step 6: Final answer
    x = 1,346.31

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1.5x scale

Why These Related Problems?

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