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Finding the Fourth Proportional to 1,232.16, 1,846.24 and 573.34

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Solution

The fourth proportional to 1,232.16, 1,846.24 and 573.34 is: 859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.16 : 1,846.24 = 573.34 : x
  2. Step 2: Convert to fraction form
    1,232.16/1,846.24 = 573.34/x
  3. Step 3: Cross multiply
    1,232.16x = 1,846.24 × 573.34
  4. Step 4: Simplify right side
    1,232.16x = 1,058,523.24
  5. Step 5: Solve for x
    x = 1,058,523.24/1,232.16
  6. Step 6: Final answer
    x = 859.08

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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.