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Finding the Fourth Proportional to 822.40, 1,133.59 and 556.76

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Solution

The fourth proportional to 822.40, 1,133.59 and 556.76 is: 767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.40 : 1,133.59 = 556.76 : x
  2. Step 2: Convert to fraction form
    822.40/1,133.59 = 556.76/x
  3. Step 3: Cross multiply
    822.40x = 1,133.59 × 556.76
  4. Step 4: Simplify right side
    822.40x = 631,129.12
  5. Step 5: Solve for x
    x = 631,129.12/822.40
  6. Step 6: Final answer
    x = 767.43

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Double scale
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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.