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Finding the Fourth Proportional to 1,165.83, 1,608.65 and 668.37

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Solution

The fourth proportional to 1,165.83, 1,608.65 and 668.37 is: 922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.83 : 1,608.65 = 668.37 : x
  2. Step 2: Convert to fraction form
    1,165.83/1,608.65 = 668.37/x
  3. Step 3: Cross multiply
    1,165.83x = 1,608.65 × 668.37
  4. Step 4: Simplify right side
    1,165.83x = 1,075,182.36
  5. Step 5: Solve for x
    x = 1,075,182.36/1,165.83
  6. Step 6: Final answer
    x = 922.25

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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.