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Finding the Fourth Proportional to 838.66, 1,157.40 and 524.12

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Solution

The fourth proportional to 838.66, 1,157.40 and 524.12 is: 723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.66 : 1,157.40 = 524.12 : x
  2. Step 2: Convert to fraction form
    838.66/1,157.40 = 524.12/x
  3. Step 3: Cross multiply
    838.66x = 1,157.40 × 524.12
  4. Step 4: Simplify right side
    838.66x = 606,616.49
  5. Step 5: Solve for x
    x = 606,616.49/838.66
  6. Step 6: Final answer
    x = 723.32

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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.