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Finding the Fourth Proportional to 874.18, 1,206.58 and 563.14

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Solution

The fourth proportional to 874.18, 1,206.58 and 563.14 is: 777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.18 : 1,206.58 = 563.14 : x
  2. Step 2: Convert to fraction form
    874.18/1,206.58 = 563.14/x
  3. Step 3: Cross multiply
    874.18x = 1,206.58 × 563.14
  4. Step 4: Simplify right side
    874.18x = 679,473.46
  5. Step 5: Solve for x
    x = 679,473.46/874.18
  6. Step 6: Final answer
    x = 777.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.