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Finding the Fourth Proportional to 742.30, 1,114.65 and 538.30

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Solution

The fourth proportional to 742.30, 1,114.65 and 538.30 is: 808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.30 : 1,114.65 = 538.30 : x
  2. Step 2: Convert to fraction form
    742.30/1,114.65 = 538.30/x
  3. Step 3: Cross multiply
    742.30x = 1,114.65 × 538.30
  4. Step 4: Simplify right side
    742.30x = 600,016.10
  5. Step 5: Solve for x
    x = 600,016.10/742.30
  6. Step 6: Final answer
    x = 808.32

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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.