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Finding the Fourth Proportional to 975.76, 1,463.64 and 398.50

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Solution

The fourth proportional to 975.76, 1,463.64 and 398.50 is: 597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.76 : 1,463.64 = 398.50 : x
  2. Step 2: Convert to fraction form
    975.76/1,463.64 = 398.50/x
  3. Step 3: Cross multiply
    975.76x = 1,463.64 × 398.50
  4. Step 4: Simplify right side
    975.76x = 583,260.54
  5. Step 5: Solve for x
    x = 583,260.54/975.76
  6. Step 6: Final answer
    x = 597.75

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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.