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Finding the Fourth Proportional to 975.86, 1,463.21 and 390.96

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Solution

The fourth proportional to 975.86, 1,463.21 and 390.96 is: 586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.86 : 1,463.21 = 390.96 : x
  2. Step 2: Convert to fraction form
    975.86/1,463.21 = 390.96/x
  3. Step 3: Cross multiply
    975.86x = 1,463.21 × 390.96
  4. Step 4: Simplify right side
    975.86x = 572,056.58
  5. Step 5: Solve for x
    x = 572,056.58/975.86
  6. Step 6: Final answer
    x = 586.21

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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.