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Finding the Fourth Proportional to 1,653.64, 2,480.49 and 775.66

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Solution

The fourth proportional to 1,653.64, 2,480.49 and 775.66 is: 1,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.64 : 2,480.49 = 775.66 : x
  2. Step 2: Convert to fraction form
    1,653.64/2,480.49 = 775.66/x
  3. Step 3: Cross multiply
    1,653.64x = 2,480.49 × 775.66
  4. Step 4: Simplify right side
    1,653.64x = 1,924,013.00
  5. Step 5: Solve for x
    x = 1,924,013.00/1,653.64
  6. Step 6: Final answer
    x = 1,163.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.