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Finding the Fourth Proportional to 675.44, 930.02 and 647.78

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Solution

The fourth proportional to 675.44, 930.02 and 647.78 is: 891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.44 : 930.02 = 647.78 : x
  2. Step 2: Convert to fraction form
    675.44/930.02 = 647.78/x
  3. Step 3: Cross multiply
    675.44x = 930.02 × 647.78
  4. Step 4: Simplify right side
    675.44x = 602,448.36
  5. Step 5: Solve for x
    x = 602,448.36/675.44
  6. Step 6: Final answer
    x = 891.93

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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.