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Finding the Fourth Proportional to 930.68, 1,284.01 and 651.23

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Solution

The fourth proportional to 930.68, 1,284.01 and 651.23 is: 898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.68 : 1,284.01 = 651.23 : x
  2. Step 2: Convert to fraction form
    930.68/1,284.01 = 651.23/x
  3. Step 3: Cross multiply
    930.68x = 1,284.01 × 651.23
  4. Step 4: Simplify right side
    930.68x = 836,185.83
  5. Step 5: Solve for x
    x = 836,185.83/930.68
  6. Step 6: Final answer
    x = 898.47

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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.