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Finding the Fourth Proportional to 832.20, 1,148.48 and 538.16

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Solution

The fourth proportional to 832.20, 1,148.48 and 538.16 is: 742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.20 : 1,148.48 = 538.16 : x
  2. Step 2: Convert to fraction form
    832.20/1,148.48 = 538.16/x
  3. Step 3: Cross multiply
    832.20x = 1,148.48 × 538.16
  4. Step 4: Simplify right side
    832.20x = 618,066.00
  5. Step 5: Solve for x
    x = 618,066.00/832.20
  6. Step 6: Final answer
    x = 742.69

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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.