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Finding the Fourth Proportional to 940.24, 1,297.47 and 520.55

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Solution

The fourth proportional to 940.24, 1,297.47 and 520.55 is: 718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.24 : 1,297.47 = 520.55 : x
  2. Step 2: Convert to fraction form
    940.24/1,297.47 = 520.55/x
  3. Step 3: Cross multiply
    940.24x = 1,297.47 × 520.55
  4. Step 4: Simplify right side
    940.24x = 675,395.41
  5. Step 5: Solve for x
    x = 675,395.41/940.24
  6. Step 6: Final answer
    x = 718.32

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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.