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Finding the Fourth Proportional to 832.33, 1,148.64 and 517.63

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Solution

The fourth proportional to 832.33, 1,148.64 and 517.63 is: 714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.33 : 1,148.64 = 517.63 : x
  2. Step 2: Convert to fraction form
    832.33/1,148.64 = 517.63/x
  3. Step 3: Cross multiply
    832.33x = 1,148.64 × 517.63
  4. Step 4: Simplify right side
    832.33x = 594,570.52
  5. Step 5: Solve for x
    x = 594,570.52/832.33
  6. Step 6: Final answer
    x = 714.34

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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.