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Finding the Fourth Proportional to 715.64, 1,074.54 and 635

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Solution

The fourth proportional to 715.64, 1,074.54 and 635 is: 953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.64 : 1,074.54 = 635 : x
  2. Step 2: Convert to fraction form
    715.64/1,074.54 = 635/x
  3. Step 3: Cross multiply
    715.64x = 1,074.54 × 635
  4. Step 4: Simplify right side
    715.64x = 682,332.90
  5. Step 5: Solve for x
    x = 682,332.90/715.64
  6. Step 6: Final answer
    x = 953.46

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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.