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Finding the Fourth Proportional to 1,076.06, 1,485.38 and 633.98

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Solution

The fourth proportional to 1,076.06, 1,485.38 and 633.98 is: 875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.06 : 1,485.38 = 633.98 : x
  2. Step 2: Convert to fraction form
    1,076.06/1,485.38 = 633.98/x
  3. Step 3: Cross multiply
    1,076.06x = 1,485.38 × 633.98
  4. Step 4: Simplify right side
    1,076.06x = 941,701.21
  5. Step 5: Solve for x
    x = 941,701.21/1,076.06
  6. Step 6: Final answer
    x = 875.14

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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.