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Finding the Fourth Proportional to 564.69, 777.93 and 536.90

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Solution

The fourth proportional to 564.69, 777.93 and 536.90 is: 739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.69 : 777.93 = 536.90 : x
  2. Step 2: Convert to fraction form
    564.69/777.93 = 536.90/x
  3. Step 3: Cross multiply
    564.69x = 777.93 × 536.90
  4. Step 4: Simplify right side
    564.69x = 417,666.73
  5. Step 5: Solve for x
    x = 417,666.73/564.69
  6. Step 6: Final answer
    x = 739.64

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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.