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Finding the Fourth Proportional to 804.19, 1,109.93 and 472.64

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Solution

The fourth proportional to 804.19, 1,109.93 and 472.64 is: 652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.19 : 1,109.93 = 472.64 : x
  2. Step 2: Convert to fraction form
    804.19/1,109.93 = 472.64/x
  3. Step 3: Cross multiply
    804.19x = 1,109.93 × 472.64
  4. Step 4: Simplify right side
    804.19x = 524,590.73
  5. Step 5: Solve for x
    x = 524,590.73/804.19
  6. Step 6: Final answer
    x = 652.32

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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.