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Finding the Fourth Proportional to 1,464.02, 2,197.65 and 816.02

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Solution

The fourth proportional to 1,464.02, 2,197.65 and 816.02 is: 1,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.02 : 2,197.65 = 816.02 : x
  2. Step 2: Convert to fraction form
    1,464.02/2,197.65 = 816.02/x
  3. Step 3: Cross multiply
    1,464.02x = 2,197.65 × 816.02
  4. Step 4: Simplify right side
    1,464.02x = 1,793,326.35
  5. Step 5: Solve for x
    x = 1,793,326.35/1,464.02
  6. Step 6: Final answer
    x = 1,224.93

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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.