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Finding the Fourth Proportional to 822.64, 1,232.54 and 578.02

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Solution

The fourth proportional to 822.64, 1,232.54 and 578.02 is: 866.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.64 : 1,232.54 = 578.02 : x
  2. Step 2: Convert to fraction form
    822.64/1,232.54 = 578.02/x
  3. Step 3: Cross multiply
    822.64x = 1,232.54 × 578.02
  4. Step 4: Simplify right side
    822.64x = 712,432.77
  5. Step 5: Solve for x
    x = 712,432.77/822.64
  6. Step 6: Final answer
    x = 866.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.