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Finding the Fourth Proportional to 969.48, 1,337.56 and 596.26

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Solution

The fourth proportional to 969.48, 1,337.56 and 596.26 is: 822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.48 : 1,337.56 = 596.26 : x
  2. Step 2: Convert to fraction form
    969.48/1,337.56 = 596.26/x
  3. Step 3: Cross multiply
    969.48x = 1,337.56 × 596.26
  4. Step 4: Simplify right side
    969.48x = 797,533.53
  5. Step 5: Solve for x
    x = 797,533.53/969.48
  6. Step 6: Final answer
    x = 822.64

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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.