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Finding the Fourth Proportional to 804.93, 1,110.94 and 473.55

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Solution

The fourth proportional to 804.93, 1,110.94 and 473.55 is: 653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.93 : 1,110.94 = 473.55 : x
  2. Step 2: Convert to fraction form
    804.93/1,110.94 = 473.55/x
  3. Step 3: Cross multiply
    804.93x = 1,110.94 × 473.55
  4. Step 4: Simplify right side
    804.93x = 526,085.64
  5. Step 5: Solve for x
    x = 526,085.64/804.93
  6. Step 6: Final answer
    x = 653.58

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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.