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Finding the Fourth Proportional to 1,076.93, 1,486.54 and 634.81

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Solution

The fourth proportional to 1,076.93, 1,486.54 and 634.81 is: 876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.93 : 1,486.54 = 634.81 : x
  2. Step 2: Convert to fraction form
    1,076.93/1,486.54 = 634.81/x
  3. Step 3: Cross multiply
    1,076.93x = 1,486.54 × 634.81
  4. Step 4: Simplify right side
    1,076.93x = 943,670.19
  5. Step 5: Solve for x
    x = 943,670.19/1,076.93
  6. Step 6: Final answer
    x = 876.26

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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.