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Finding the Fourth Proportional to 953.35, 1,315.77 and 658.37

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Solution

The fourth proportional to 953.35, 1,315.77 and 658.37 is: 908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.35 : 1,315.77 = 658.37 : x
  2. Step 2: Convert to fraction form
    953.35/1,315.77 = 658.37/x
  3. Step 3: Cross multiply
    953.35x = 1,315.77 × 658.37
  4. Step 4: Simplify right side
    953.35x = 866,263.49
  5. Step 5: Solve for x
    x = 866,263.49/953.35
  6. Step 6: Final answer
    x = 908.65

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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.