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Finding the Fourth Proportional to 1,165.64, 1,608.40 and 668.18

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Solution

The fourth proportional to 1,165.64, 1,608.40 and 668.18 is: 921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.64 : 1,608.40 = 668.18 : x
  2. Step 2: Convert to fraction form
    1,165.64/1,608.40 = 668.18/x
  3. Step 3: Cross multiply
    1,165.64x = 1,608.40 × 668.18
  4. Step 4: Simplify right side
    1,165.64x = 1,074,700.71
  5. Step 5: Solve for x
    x = 1,074,700.71/1,165.64
  6. Step 6: Final answer
    x = 921.98

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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.