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Finding the Fourth Proportional to 930.21, 1,284.29 and 830.45

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Solution

The fourth proportional to 930.21, 1,284.29 and 830.45 is: 1,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.21 : 1,284.29 = 830.45 : x
  2. Step 2: Convert to fraction form
    930.21/1,284.29 = 830.45/x
  3. Step 3: Cross multiply
    930.21x = 1,284.29 × 830.45
  4. Step 4: Simplify right side
    930.21x = 1,066,537.69
  5. Step 5: Solve for x
    x = 1,066,537.69/930.21
  6. Step 6: Final answer
    x = 1,146.56

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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.