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Finding the Fourth Proportional to 804.88, 1,110.48 and 473.20

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Solution

The fourth proportional to 804.88, 1,110.48 and 473.20 is: 652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.88 : 1,110.48 = 473.20 : x
  2. Step 2: Convert to fraction form
    804.88/1,110.48 = 473.20/x
  3. Step 3: Cross multiply
    804.88x = 1,110.48 × 473.20
  4. Step 4: Simplify right side
    804.88x = 525,479.14
  5. Step 5: Solve for x
    x = 525,479.14/804.88
  6. Step 6: Final answer
    x = 652.87

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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.