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Finding the Fourth Proportional to 838.64, 1,157.24 and 524.36

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Solution

The fourth proportional to 838.64, 1,157.24 and 524.36 is: 723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.64 : 1,157.24 = 524.36 : x
  2. Step 2: Convert to fraction form
    838.64/1,157.24 = 524.36/x
  3. Step 3: Cross multiply
    838.64x = 1,157.24 × 524.36
  4. Step 4: Simplify right side
    838.64x = 606,810.37
  5. Step 5: Solve for x
    x = 606,810.37/838.64
  6. Step 6: Final answer
    x = 723.56

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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.