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Finding the Fourth Proportional to 1,653.08, 2,482.08 and 681.08

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Solution

The fourth proportional to 1,653.08, 2,482.08 and 681.08 is: 1,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.08 : 2,482.08 = 681.08 : x
  2. Step 2: Convert to fraction form
    1,653.08/2,482.08 = 681.08/x
  3. Step 3: Cross multiply
    1,653.08x = 2,482.08 × 681.08
  4. Step 4: Simplify right side
    1,653.08x = 1,690,495.05
  5. Step 5: Solve for x
    x = 1,690,495.05/1,653.08
  6. Step 6: Final answer
    x = 1,022.63

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1.5x scale

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.