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Finding the Fourth Proportional to 906.25, 1,250.64 and 533.24

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Solution

The fourth proportional to 906.25, 1,250.64 and 533.24 is: 735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.25 : 1,250.64 = 533.24 : x
  2. Step 2: Convert to fraction form
    906.25/1,250.64 = 533.24/x
  3. Step 3: Cross multiply
    906.25x = 1,250.64 × 533.24
  4. Step 4: Simplify right side
    906.25x = 666,891.27
  5. Step 5: Solve for x
    x = 666,891.27/906.25
  6. Step 6: Final answer
    x = 735.88

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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.