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Finding the Fourth Proportional to 712.85, 983.40 and 464.39

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Solution

The fourth proportional to 712.85, 983.40 and 464.39 is: 640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.85 : 983.40 = 464.39 : x
  2. Step 2: Convert to fraction form
    712.85/983.40 = 464.39/x
  3. Step 3: Cross multiply
    712.85x = 983.40 × 464.39
  4. Step 4: Simplify right side
    712.85x = 456,681.13
  5. Step 5: Solve for x
    x = 456,681.13/712.85
  6. Step 6: Final answer
    x = 640.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.