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Finding the Fourth Proportional to 1,076.58, 1,485.69 and 622.38

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Solution

The fourth proportional to 1,076.58, 1,485.69 and 622.38 is: 858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.58 : 1,485.69 = 622.38 : x
  2. Step 2: Convert to fraction form
    1,076.58/1,485.69 = 622.38/x
  3. Step 3: Cross multiply
    1,076.58x = 1,485.69 × 622.38
  4. Step 4: Simplify right side
    1,076.58x = 924,663.74
  5. Step 5: Solve for x
    x = 924,663.74/1,076.58
  6. Step 6: Final answer
    x = 858.89

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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.