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Finding the Fourth Proportional to 873.50, 1,205.70 and 563

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Solution

The fourth proportional to 873.50, 1,205.70 and 563 is: 777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.50 : 1,205.70 = 563 : x
  2. Step 2: Convert to fraction form
    873.50/1,205.70 = 563/x
  3. Step 3: Cross multiply
    873.50x = 1,205.70 × 563
  4. Step 4: Simplify right side
    873.50x = 678,809.10
  5. Step 5: Solve for x
    x = 678,809.10/873.50
  6. Step 6: Final answer
    x = 777.11

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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.