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Finding the Fourth Proportional to 713.50, 983.85 and 464.36

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Solution

The fourth proportional to 713.50, 983.85 and 464.36 is: 640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.50 : 983.85 = 464.36 : x
  2. Step 2: Convert to fraction form
    713.50/983.85 = 464.36/x
  3. Step 3: Cross multiply
    713.50x = 983.85 × 464.36
  4. Step 4: Simplify right side
    713.50x = 456,853.34
  5. Step 5: Solve for x
    x = 456,853.34/713.50
  6. Step 6: Final answer
    x = 640.30

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1.5x scale

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.