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Finding the Fourth Proportional to 712.44, 1,065.47 and 464.99

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Solution

The fourth proportional to 712.44, 1,065.47 and 464.99 is: 695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.44 : 1,065.47 = 464.99 : x
  2. Step 2: Convert to fraction form
    712.44/1,065.47 = 464.99/x
  3. Step 3: Cross multiply
    712.44x = 1,065.47 × 464.99
  4. Step 4: Simplify right side
    712.44x = 495,425.24
  5. Step 5: Solve for x
    x = 495,425.24/712.44
  6. Step 6: Final answer
    x = 695.39

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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.