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Finding the Fourth Proportional to 1,453.21, 2,005.41 and 790.03

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Solution

The fourth proportional to 1,453.21, 2,005.41 and 790.03 is: 1,090.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.21 : 2,005.41 = 790.03 : x
  2. Step 2: Convert to fraction form
    1,453.21/2,005.41 = 790.03/x
  3. Step 3: Cross multiply
    1,453.21x = 2,005.41 × 790.03
  4. Step 4: Simplify right side
    1,453.21x = 1,584,334.06
  5. Step 5: Solve for x
    x = 1,584,334.06/1,453.21
  6. Step 6: Final answer
    x = 1,090.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.