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Finding the Fourth Proportional to 838.37, 1,157.63 and 524

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Solution

The fourth proportional to 838.37, 1,157.63 and 524 is: 723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.37 : 1,157.63 = 524 : x
  2. Step 2: Convert to fraction form
    838.37/1,157.63 = 524/x
  3. Step 3: Cross multiply
    838.37x = 1,157.63 × 524
  4. Step 4: Simplify right side
    838.37x = 606,598.12
  5. Step 5: Solve for x
    x = 606,598.12/838.37
  6. Step 6: Final answer
    x = 723.54

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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.