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Finding the Fourth Proportional to 1,389.45, 1,917.77 and 917.43

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Solution

The fourth proportional to 1,389.45, 1,917.77 and 917.43 is: 1,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.45 : 1,917.77 = 917.43 : x
  2. Step 2: Convert to fraction form
    1,389.45/1,917.77 = 917.43/x
  3. Step 3: Cross multiply
    1,389.45x = 1,917.77 × 917.43
  4. Step 4: Simplify right side
    1,389.45x = 1,759,415.14
  5. Step 5: Solve for x
    x = 1,759,415.14/1,389.45
  6. Step 6: Final answer
    x = 1,266.27

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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.