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Finding the Fourth Proportional to 730.55, 1,097.53 and 456.84

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Solution

The fourth proportional to 730.55, 1,097.53 and 456.84 is: 686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.55 : 1,097.53 = 456.84 : x
  2. Step 2: Convert to fraction form
    730.55/1,097.53 = 456.84/x
  3. Step 3: Cross multiply
    730.55x = 1,097.53 × 456.84
  4. Step 4: Simplify right side
    730.55x = 501,397.03
  5. Step 5: Solve for x
    x = 501,397.03/730.55
  6. Step 6: Final answer
    x = 686.33

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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.