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Finding the Fourth Proportional to 985.13, 1,477.68 and 464.95

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Solution

The fourth proportional to 985.13, 1,477.68 and 464.95 is: 697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.13 : 1,477.68 = 464.95 : x
  2. Step 2: Convert to fraction form
    985.13/1,477.68 = 464.95/x
  3. Step 3: Cross multiply
    985.13x = 1,477.68 × 464.95
  4. Step 4: Simplify right side
    985.13x = 687,047.32
  5. Step 5: Solve for x
    x = 687,047.32/985.13
  6. Step 6: Final answer
    x = 697.42

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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.