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Finding the Fourth Proportional to 847.58, 1,169.64 and 474.58

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Solution

The fourth proportional to 847.58, 1,169.64 and 474.58 is: 654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.58 : 1,169.64 = 474.58 : x
  2. Step 2: Convert to fraction form
    847.58/1,169.64 = 474.58/x
  3. Step 3: Cross multiply
    847.58x = 1,169.64 × 474.58
  4. Step 4: Simplify right side
    847.58x = 555,082.63
  5. Step 5: Solve for x
    x = 555,082.63/847.58
  6. Step 6: Final answer
    x = 654.90

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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.