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Finding the Fourth Proportional to 651.66, 898.35 and 496.14

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Solution

The fourth proportional to 651.66, 898.35 and 496.14 is: 683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.66 : 898.35 = 496.14 : x
  2. Step 2: Convert to fraction form
    651.66/898.35 = 496.14/x
  3. Step 3: Cross multiply
    651.66x = 898.35 × 496.14
  4. Step 4: Simplify right side
    651.66x = 445,707.37
  5. Step 5: Solve for x
    x = 445,707.37/651.66
  6. Step 6: Final answer
    x = 683.96

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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.