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Finding the Fourth Proportional to 975.98, 1,463.64 and 746.36

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Solution

The fourth proportional to 975.98, 1,463.64 and 746.36 is: 1,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.98 : 1,463.64 = 746.36 : x
  2. Step 2: Convert to fraction form
    975.98/1,463.64 = 746.36/x
  3. Step 3: Cross multiply
    975.98x = 1,463.64 × 746.36
  4. Step 4: Simplify right side
    975.98x = 1,092,402.35
  5. Step 5: Solve for x
    x = 1,092,402.35/975.98
  6. Step 6: Final answer
    x = 1,119.29

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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.