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Finding the Fourth Proportional to 985.58, 1,477.23 and 465.72

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Solution

The fourth proportional to 985.58, 1,477.23 and 465.72 is: 698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.58 : 1,477.23 = 465.72 : x
  2. Step 2: Convert to fraction form
    985.58/1,477.23 = 465.72/x
  3. Step 3: Cross multiply
    985.58x = 1,477.23 × 465.72
  4. Step 4: Simplify right side
    985.58x = 687,975.56
  5. Step 5: Solve for x
    x = 687,975.56/985.58
  6. Step 6: Final answer
    x = 698.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.