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Finding the Fourth Proportional to 822.76, 1,133.80 and 527.52

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Solution

The fourth proportional to 822.76, 1,133.80 and 527.52 is: 726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.76 : 1,133.80 = 527.52 : x
  2. Step 2: Convert to fraction form
    822.76/1,133.80 = 527.52/x
  3. Step 3: Cross multiply
    822.76x = 1,133.80 × 527.52
  4. Step 4: Simplify right side
    822.76x = 598,102.18
  5. Step 5: Solve for x
    x = 598,102.18/822.76
  6. Step 6: Final answer
    x = 726.95

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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.