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Finding the Fourth Proportional to 566.04, 776.01 and 564.54

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Solution

The fourth proportional to 566.04, 776.01 and 564.54 is: 773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.04 : 776.01 = 564.54 : x
  2. Step 2: Convert to fraction form
    566.04/776.01 = 564.54/x
  3. Step 3: Cross multiply
    566.04x = 776.01 × 564.54
  4. Step 4: Simplify right side
    566.04x = 438,088.69
  5. Step 5: Solve for x
    x = 438,088.69/566.04
  6. Step 6: Final answer
    x = 773.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.