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Finding the Fourth Proportional to 953.30, 1,313.76 and 658.04

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Solution

The fourth proportional to 953.30, 1,313.76 and 658.04 is: 906.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.30 : 1,313.76 = 658.04 : x
  2. Step 2: Convert to fraction form
    953.30/1,313.76 = 658.04/x
  3. Step 3: Cross multiply
    953.30x = 1,313.76 × 658.04
  4. Step 4: Simplify right side
    953.30x = 864,506.63
  5. Step 5: Solve for x
    x = 864,506.63/953.30
  6. Step 6: Final answer
    x = 906.86

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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.