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Finding the Fourth Proportional to 1,646.04, 2,468.46 and 768.80

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Solution

The fourth proportional to 1,646.04, 2,468.46 and 768.80 is: 1,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.04 : 2,468.46 = 768.80 : x
  2. Step 2: Convert to fraction form
    1,646.04/2,468.46 = 768.80/x
  3. Step 3: Cross multiply
    1,646.04x = 2,468.46 × 768.80
  4. Step 4: Simplify right side
    1,646.04x = 1,897,752.05
  5. Step 5: Solve for x
    x = 1,897,752.05/1,646.04
  6. Step 6: Final answer
    x = 1,152.92

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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.