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Finding the Fourth Proportional to 804.68, 1,205.88 and 457.52

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Solution

The fourth proportional to 804.68, 1,205.88 and 457.52 is: 685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.68 : 1,205.88 = 457.52 : x
  2. Step 2: Convert to fraction form
    804.68/1,205.88 = 457.52/x
  3. Step 3: Cross multiply
    804.68x = 1,205.88 × 457.52
  4. Step 4: Simplify right side
    804.68x = 551,714.22
  5. Step 5: Solve for x
    x = 551,714.22/804.68
  6. Step 6: Final answer
    x = 685.63

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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.