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Finding the Fourth Proportional to 563.16, 775.56 and 561.51

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Solution

The fourth proportional to 563.16, 775.56 and 561.51 is: 773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.16 : 775.56 = 561.51 : x
  2. Step 2: Convert to fraction form
    563.16/775.56 = 561.51/x
  3. Step 3: Cross multiply
    563.16x = 775.56 × 561.51
  4. Step 4: Simplify right side
    563.16x = 435,484.70
  5. Step 5: Solve for x
    x = 435,484.70/563.16
  6. Step 6: Final answer
    x = 773.29

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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.