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Finding the Fourth Proportional to 985.32, 1,478.86 and 465.62

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Solution

The fourth proportional to 985.32, 1,478.86 and 465.62 is: 698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.32 : 1,478.86 = 465.62 : x
  2. Step 2: Convert to fraction form
    985.32/1,478.86 = 465.62/x
  3. Step 3: Cross multiply
    985.32x = 1,478.86 × 465.62
  4. Step 4: Simplify right side
    985.32x = 688,586.79
  5. Step 5: Solve for x
    x = 688,586.79/985.32
  6. Step 6: Final answer
    x = 698.85

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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.