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Finding the Fourth Proportional to 822.78, 1,135.44 and 473.46

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Solution

The fourth proportional to 822.78, 1,135.44 and 473.46 is: 653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.78 : 1,135.44 = 473.46 : x
  2. Step 2: Convert to fraction form
    822.78/1,135.44 = 473.46/x
  3. Step 3: Cross multiply
    822.78x = 1,135.44 × 473.46
  4. Step 4: Simplify right side
    822.78x = 537,585.42
  5. Step 5: Solve for x
    x = 537,585.42/822.78
  6. Step 6: Final answer
    x = 653.38

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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.