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Finding the Fourth Proportional to 730.64, 1,095.60 and 457.04

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Solution

The fourth proportional to 730.64, 1,095.60 and 457.04 is: 685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.64 : 1,095.60 = 457.04 : x
  2. Step 2: Convert to fraction form
    730.64/1,095.60 = 457.04/x
  3. Step 3: Cross multiply
    730.64x = 1,095.60 × 457.04
  4. Step 4: Simplify right side
    730.64x = 500,733.02
  5. Step 5: Solve for x
    x = 500,733.02/730.64
  6. Step 6: Final answer
    x = 685.33

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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.