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Finding the Fourth Proportional to 985.77, 1,476.53 and 464.99

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Solution

The fourth proportional to 985.77, 1,476.53 and 464.99 is: 696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.77 : 1,476.53 = 464.99 : x
  2. Step 2: Convert to fraction form
    985.77/1,476.53 = 464.99/x
  3. Step 3: Cross multiply
    985.77x = 1,476.53 × 464.99
  4. Step 4: Simplify right side
    985.77x = 686,563.72
  5. Step 5: Solve for x
    x = 686,563.72/985.77
  6. Step 6: Final answer
    x = 696.47

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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.