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Finding the Fourth Proportional to 804.64, 1,110.18 and 455.32

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Solution

The fourth proportional to 804.64, 1,110.18 and 455.32 is: 628.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.64 : 1,110.18 = 455.32 : x
  2. Step 2: Convert to fraction form
    804.64/1,110.18 = 455.32/x
  3. Step 3: Cross multiply
    804.64x = 1,110.18 × 455.32
  4. Step 4: Simplify right side
    804.64x = 505,487.16
  5. Step 5: Solve for x
    x = 505,487.16/804.64
  6. Step 6: Final answer
    x = 628.22

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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.