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Finding the Fourth Proportional to 1,646.02, 2,468.66 and 476.02

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Solution

The fourth proportional to 1,646.02, 2,468.66 and 476.02 is: 713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.02 : 2,468.66 = 476.02 : x
  2. Step 2: Convert to fraction form
    1,646.02/2,468.66 = 476.02/x
  3. Step 3: Cross multiply
    1,646.02x = 2,468.66 × 476.02
  4. Step 4: Simplify right side
    1,646.02x = 1,175,131.53
  5. Step 5: Solve for x
    x = 1,175,131.53/1,646.02
  6. Step 6: Final answer
    x = 713.92

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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.