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Finding the Fourth Proportional to 715.75, 1,074.08 and 282.93

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Solution

The fourth proportional to 715.75, 1,074.08 and 282.93 is: 424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.75 : 1,074.08 = 282.93 : x
  2. Step 2: Convert to fraction form
    715.75/1,074.08 = 282.93/x
  3. Step 3: Cross multiply
    715.75x = 1,074.08 × 282.93
  4. Step 4: Simplify right side
    715.75x = 303,889.45
  5. Step 5: Solve for x
    x = 303,889.45/715.75
  6. Step 6: Final answer
    x = 424.57

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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.