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Finding the Fourth Proportional to 804.80, 1,109.80 and 542.36

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Solution

The fourth proportional to 804.80, 1,109.80 and 542.36 is: 747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.80 : 1,109.80 = 542.36 : x
  2. Step 2: Convert to fraction form
    804.80/1,109.80 = 542.36/x
  3. Step 3: Cross multiply
    804.80x = 1,109.80 × 542.36
  4. Step 4: Simplify right side
    804.80x = 601,914.58
  5. Step 5: Solve for x
    x = 601,914.58/804.80
  6. Step 6: Final answer
    x = 747.90

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1.5x scale

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.