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Finding the Fourth Proportional to 822.84, 1,135.46 and 468.77

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Solution

The fourth proportional to 822.84, 1,135.46 and 468.77 is: 646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.84 : 1,135.46 = 468.77 : x
  2. Step 2: Convert to fraction form
    822.84/1,135.46 = 468.77/x
  3. Step 3: Cross multiply
    822.84x = 1,135.46 × 468.77
  4. Step 4: Simplify right side
    822.84x = 532,261.56
  5. Step 5: Solve for x
    x = 532,261.56/822.84
  6. Step 6: Final answer
    x = 646.86

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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.