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Finding the Fourth Proportional to 820.02, 1,130.67 and 563.88

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Solution

The fourth proportional to 820.02, 1,130.67 and 563.88 is: 777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.02 : 1,130.67 = 563.88 : x
  2. Step 2: Convert to fraction form
    820.02/1,130.67 = 563.88/x
  3. Step 3: Cross multiply
    820.02x = 1,130.67 × 563.88
  4. Step 4: Simplify right side
    820.02x = 637,562.20
  5. Step 5: Solve for x
    x = 637,562.20/820.02
  6. Step 6: Final answer
    x = 777.50

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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.