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Finding the Fourth Proportional to 715.41, 1,073.66 and 523.53

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Solution

The fourth proportional to 715.41, 1,073.66 and 523.53 is: 785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.41 : 1,073.66 = 523.53 : x
  2. Step 2: Convert to fraction form
    715.41/1,073.66 = 523.53/x
  3. Step 3: Cross multiply
    715.41x = 1,073.66 × 523.53
  4. Step 4: Simplify right side
    715.41x = 562,090.60
  5. Step 5: Solve for x
    x = 562,090.60/715.41
  6. Step 6: Final answer
    x = 785.69

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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.