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Finding the Fourth Proportional to 851.42, 1,174.95 and 478.40

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Solution

The fourth proportional to 851.42, 1,174.95 and 478.40 is: 660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.42 : 1,174.95 = 478.40 : x
  2. Step 2: Convert to fraction form
    851.42/1,174.95 = 478.40/x
  3. Step 3: Cross multiply
    851.42x = 1,174.95 × 478.40
  4. Step 4: Simplify right side
    851.42x = 562,090.49
  5. Step 5: Solve for x
    x = 562,090.49/851.42
  6. Step 6: Final answer
    x = 660.18

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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.