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Finding the Fourth Proportional to 822.84, 1,135.68 and 473.76

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Solution

The fourth proportional to 822.84, 1,135.68 and 473.76 is: 653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.84 : 1,135.68 = 473.76 : x
  2. Step 2: Convert to fraction form
    822.84/1,135.68 = 473.76/x
  3. Step 3: Cross multiply
    822.84x = 1,135.68 × 473.76
  4. Step 4: Simplify right side
    822.84x = 538,039.76
  5. Step 5: Solve for x
    x = 538,039.76/822.84
  6. Step 6: Final answer
    x = 653.88

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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.