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Finding the Fourth Proportional to 1,096.34, 1,637.27 and 975.38

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Solution

The fourth proportional to 1,096.34, 1,637.27 and 975.38 is: 1,456.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.34 : 1,637.27 = 975.38 : x
  2. Step 2: Convert to fraction form
    1,096.34/1,637.27 = 975.38/x
  3. Step 3: Cross multiply
    1,096.34x = 1,637.27 × 975.38
  4. Step 4: Simplify right side
    1,096.34x = 1,596,954.66
  5. Step 5: Solve for x
    x = 1,596,954.66/1,096.34
  6. Step 6: Final answer
    x = 1,456.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.