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Finding the Fourth Proportional to 832.60, 1,148.58 and 538.12

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Solution

The fourth proportional to 832.60, 1,148.58 and 538.12 is: 742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.60 : 1,148.58 = 538.12 : x
  2. Step 2: Convert to fraction form
    832.60/1,148.58 = 538.12/x
  3. Step 3: Cross multiply
    832.60x = 1,148.58 × 538.12
  4. Step 4: Simplify right side
    832.60x = 618,073.87
  5. Step 5: Solve for x
    x = 618,073.87/832.60
  6. Step 6: Final answer
    x = 742.34

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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.