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Finding the Fourth Proportional to 741.90, 1,024.74 and 556.26

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Solution

The fourth proportional to 741.90, 1,024.74 and 556.26 is: 768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.90 : 1,024.74 = 556.26 : x
  2. Step 2: Convert to fraction form
    741.90/1,024.74 = 556.26/x
  3. Step 3: Cross multiply
    741.90x = 1,024.74 × 556.26
  4. Step 4: Simplify right side
    741.90x = 570,021.87
  5. Step 5: Solve for x
    x = 570,021.87/741.90
  6. Step 6: Final answer
    x = 768.33

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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.