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Finding the Fourth Proportional to 836.50, 1,154.14 and 486.98

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Solution

The fourth proportional to 836.50, 1,154.14 and 486.98 is: 671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.50 : 1,154.14 = 486.98 : x
  2. Step 2: Convert to fraction form
    836.50/1,154.14 = 486.98/x
  3. Step 3: Cross multiply
    836.50x = 1,154.14 × 486.98
  4. Step 4: Simplify right side
    836.50x = 562,043.10
  5. Step 5: Solve for x
    x = 562,043.10/836.50
  6. Step 6: Final answer
    x = 671.90

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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.