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Finding the Fourth Proportional to 735.76, 1,012.74 and 536.26

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Solution

The fourth proportional to 735.76, 1,012.74 and 536.26 is: 738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.76 : 1,012.74 = 536.26 : x
  2. Step 2: Convert to fraction form
    735.76/1,012.74 = 536.26/x
  3. Step 3: Cross multiply
    735.76x = 1,012.74 × 536.26
  4. Step 4: Simplify right side
    735.76x = 543,091.95
  5. Step 5: Solve for x
    x = 543,091.95/735.76
  6. Step 6: Final answer
    x = 738.14

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Double scale
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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.