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Finding the Fourth Proportional to 1,645.93, 2,468.93 and 476.02

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Solution

The fourth proportional to 1,645.93, 2,468.93 and 476.02 is: 714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.93 : 2,468.93 = 476.02 : x
  2. Step 2: Convert to fraction form
    1,645.93/2,468.93 = 476.02/x
  3. Step 3: Cross multiply
    1,645.93x = 2,468.93 × 476.02
  4. Step 4: Simplify right side
    1,645.93x = 1,175,260.06
  5. Step 5: Solve for x
    x = 1,175,260.06/1,645.93
  6. Step 6: Final answer
    x = 714.04

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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.