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Finding the Fourth Proportional to 972.92, 1,343.12 and 739.64

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Solution

The fourth proportional to 972.92, 1,343.12 and 739.64 is: 1,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.92 : 1,343.12 = 739.64 : x
  2. Step 2: Convert to fraction form
    972.92/1,343.12 = 739.64/x
  3. Step 3: Cross multiply
    972.92x = 1,343.12 × 739.64
  4. Step 4: Simplify right side
    972.92x = 993,425.28
  5. Step 5: Solve for x
    x = 993,425.28/972.92
  6. Step 6: Final answer
    x = 1,021.08

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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.