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Finding the Fourth Proportional to 713.02, 1,069.40 and 193.03

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Solution

The fourth proportional to 713.02, 1,069.40 and 193.03 is: 289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.02 : 1,069.40 = 193.03 : x
  2. Step 2: Convert to fraction form
    713.02/1,069.40 = 193.03/x
  3. Step 3: Cross multiply
    713.02x = 1,069.40 × 193.03
  4. Step 4: Simplify right side
    713.02x = 206,426.28
  5. Step 5: Solve for x
    x = 206,426.28/713.02
  6. Step 6: Final answer
    x = 289.51

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1.5x scale

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.