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Finding the Fourth Proportional to 972.48, 1,338.24 and 739.20

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Solution

The fourth proportional to 972.48, 1,338.24 and 739.20 is: 1,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.48 : 1,338.24 = 739.20 : x
  2. Step 2: Convert to fraction form
    972.48/1,338.24 = 739.20/x
  3. Step 3: Cross multiply
    972.48x = 1,338.24 × 739.20
  4. Step 4: Simplify right side
    972.48x = 989,227.01
  5. Step 5: Solve for x
    x = 989,227.01/972.48
  6. Step 6: Final answer
    x = 1,017.22

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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.