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Finding the Fourth Proportional to 832.37, 1,248.28 and 421.43

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Solution

The fourth proportional to 832.37, 1,248.28 and 421.43 is: 632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.37 : 1,248.28 = 421.43 : x
  2. Step 2: Convert to fraction form
    832.37/1,248.28 = 421.43/x
  3. Step 3: Cross multiply
    832.37x = 1,248.28 × 421.43
  4. Step 4: Simplify right side
    832.37x = 526,055.35
  5. Step 5: Solve for x
    x = 526,055.35/832.37
  6. Step 6: Final answer
    x = 632.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.