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Finding the Fourth Proportional to 832.32, 1,248.06 and 345.50

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Solution

The fourth proportional to 832.32, 1,248.06 and 345.50 is: 518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.32 : 1,248.06 = 345.50 : x
  2. Step 2: Convert to fraction form
    832.32/1,248.06 = 345.50/x
  3. Step 3: Cross multiply
    832.32x = 1,248.06 × 345.50
  4. Step 4: Simplify right side
    832.32x = 431,204.73
  5. Step 5: Solve for x
    x = 431,204.73/832.32
  6. Step 6: Final answer
    x = 518.08

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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.