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Finding the Fourth Proportional to 832.02, 1,248.31 and 467.10

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Solution

The fourth proportional to 832.02, 1,248.31 and 467.10 is: 700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.02 : 1,248.31 = 467.10 : x
  2. Step 2: Convert to fraction form
    832.02/1,248.31 = 467.10/x
  3. Step 3: Cross multiply
    832.02x = 1,248.31 × 467.10
  4. Step 4: Simplify right side
    832.02x = 583,085.60
  5. Step 5: Solve for x
    x = 583,085.60/832.02
  6. Step 6: Final answer
    x = 700.81

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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.