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Finding the Fourth Proportional to 1,453.40, 2,005.68 and 790.26

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Solution

The fourth proportional to 1,453.40, 2,005.68 and 790.26 is: 1,090.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.40 : 2,005.68 = 790.26 : x
  2. Step 2: Convert to fraction form
    1,453.40/2,005.68 = 790.26/x
  3. Step 3: Cross multiply
    1,453.40x = 2,005.68 × 790.26
  4. Step 4: Simplify right side
    1,453.40x = 1,585,001.34
  5. Step 5: Solve for x
    x = 1,585,001.34/1,453.40
  6. Step 6: Final answer
    x = 1,090.55

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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.