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Finding the Fourth Proportional to 581.94, 866.85 and 551.16

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Solution

The fourth proportional to 581.94, 866.85 and 551.16 is: 821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.94 : 866.85 = 551.16 : x
  2. Step 2: Convert to fraction form
    581.94/866.85 = 551.16/x
  3. Step 3: Cross multiply
    581.94x = 866.85 × 551.16
  4. Step 4: Simplify right side
    581.94x = 477,773.05
  5. Step 5: Solve for x
    x = 477,773.05/581.94
  6. Step 6: Final answer
    x = 821.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.