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Finding the Fourth Proportional to 804.69, 1,110.38 and 473.22

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Solution

The fourth proportional to 804.69, 1,110.38 and 473.22 is: 652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.69 : 1,110.38 = 473.22 : x
  2. Step 2: Convert to fraction form
    804.69/1,110.38 = 473.22/x
  3. Step 3: Cross multiply
    804.69x = 1,110.38 × 473.22
  4. Step 4: Simplify right side
    804.69x = 525,451.66
  5. Step 5: Solve for x
    x = 525,451.66/804.69
  6. Step 6: Final answer
    x = 652.99

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Half scale
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Double scale
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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.