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Finding the Fourth Proportional to 715.17, 1,073.57 and 282.63

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Solution

The fourth proportional to 715.17, 1,073.57 and 282.63 is: 424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.17 : 1,073.57 = 282.63 : x
  2. Step 2: Convert to fraction form
    715.17/1,073.57 = 282.63/x
  3. Step 3: Cross multiply
    715.17x = 1,073.57 × 282.63
  4. Step 4: Simplify right side
    715.17x = 303,421.68
  5. Step 5: Solve for x
    x = 303,421.68/715.17
  6. Step 6: Final answer
    x = 424.27

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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.