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Finding the Fourth Proportional to 1,358.29, 1,874.10 and 940.33

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Solution

The fourth proportional to 1,358.29, 1,874.10 and 940.33 is: 1,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.29 : 1,874.10 = 940.33 : x
  2. Step 2: Convert to fraction form
    1,358.29/1,874.10 = 940.33/x
  3. Step 3: Cross multiply
    1,358.29x = 1,874.10 × 940.33
  4. Step 4: Simplify right side
    1,358.29x = 1,762,272.45
  5. Step 5: Solve for x
    x = 1,762,272.45/1,358.29
  6. Step 6: Final answer
    x = 1,297.42

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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.