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Finding the Fourth Proportional to 730.96, 1,094.08 and 457.28

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Solution

The fourth proportional to 730.96, 1,094.08 and 457.28 is: 684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.96 : 1,094.08 = 457.28 : x
  2. Step 2: Convert to fraction form
    730.96/1,094.08 = 457.28/x
  3. Step 3: Cross multiply
    730.96x = 1,094.08 × 457.28
  4. Step 4: Simplify right side
    730.96x = 500,300.90
  5. Step 5: Solve for x
    x = 500,300.90/730.96
  6. Step 6: Final answer
    x = 684.44

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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.