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Finding the Fourth Proportional to 1,076.34, 1,484.94 and 634.08

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Solution

The fourth proportional to 1,076.34, 1,484.94 and 634.08 is: 874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.34 : 1,484.94 = 634.08 : x
  2. Step 2: Convert to fraction form
    1,076.34/1,484.94 = 634.08/x
  3. Step 3: Cross multiply
    1,076.34x = 1,484.94 × 634.08
  4. Step 4: Simplify right side
    1,076.34x = 941,570.76
  5. Step 5: Solve for x
    x = 941,570.76/1,076.34
  6. Step 6: Final answer
    x = 874.79

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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.