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Finding the Fourth Proportional to 903.83, 1,356.52 and 644.47

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Solution

The fourth proportional to 903.83, 1,356.52 and 644.47 is: 967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.83 : 1,356.52 = 644.47 : x
  2. Step 2: Convert to fraction form
    903.83/1,356.52 = 644.47/x
  3. Step 3: Cross multiply
    903.83x = 1,356.52 × 644.47
  4. Step 4: Simplify right side
    903.83x = 874,236.37
  5. Step 5: Solve for x
    x = 874,236.37/903.83
  6. Step 6: Final answer
    x = 967.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.