Home / 1,478.23-2,213.23-746.26

Finding the Fourth Proportional to 1,478.23, 2,213.23 and 746.26

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Solution

The fourth proportional to 1,478.23, 2,213.23 and 746.26 is: 1,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.23 : 2,213.23 = 746.26 : x
  2. Step 2: Convert to fraction form
    1,478.23/2,213.23 = 746.26/x
  3. Step 3: Cross multiply
    1,478.23x = 2,213.23 × 746.26
  4. Step 4: Simplify right side
    1,478.23x = 1,651,645.02
  5. Step 5: Solve for x
    x = 1,651,645.02/1,478.23
  6. Step 6: Final answer
    x = 1,117.31

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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.