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Finding the Fourth Proportional to 975.96, 1,463.96 and 359.72

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Solution

The fourth proportional to 975.96, 1,463.96 and 359.72 is: 539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.96 : 1,463.96 = 359.72 : x
  2. Step 2: Convert to fraction form
    975.96/1,463.96 = 359.72/x
  3. Step 3: Cross multiply
    975.96x = 1,463.96 × 359.72
  4. Step 4: Simplify right side
    975.96x = 526,615.69
  5. Step 5: Solve for x
    x = 526,615.69/975.96
  6. Step 6: Final answer
    x = 539.59

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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.