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Finding the Fourth Proportional to 985.12, 1,477.40 and 464.84

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Solution

The fourth proportional to 985.12, 1,477.40 and 464.84 is: 697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.12 : 1,477.40 = 464.84 : x
  2. Step 2: Convert to fraction form
    985.12/1,477.40 = 464.84/x
  3. Step 3: Cross multiply
    985.12x = 1,477.40 × 464.84
  4. Step 4: Simplify right side
    985.12x = 686,754.62
  5. Step 5: Solve for x
    x = 686,754.62/985.12
  6. Step 6: Final answer
    x = 697.13

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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.