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Finding the Fourth Proportional to 1,482.92, 2,224.73 and 790.26

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Solution

The fourth proportional to 1,482.92, 2,224.73 and 790.26 is: 1,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.92 : 2,224.73 = 790.26 : x
  2. Step 2: Convert to fraction form
    1,482.92/2,224.73 = 790.26/x
  3. Step 3: Cross multiply
    1,482.92x = 2,224.73 × 790.26
  4. Step 4: Simplify right side
    1,482.92x = 1,758,111.18
  5. Step 5: Solve for x
    x = 1,758,111.18/1,482.92
  6. Step 6: Final answer
    x = 1,185.58

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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.