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Finding the Fourth Proportional to 526.82, 786.47 and 453.69

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Solution

The fourth proportional to 526.82, 786.47 and 453.69 is: 677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.82 : 786.47 = 453.69 : x
  2. Step 2: Convert to fraction form
    526.82/786.47 = 453.69/x
  3. Step 3: Cross multiply
    526.82x = 786.47 × 453.69
  4. Step 4: Simplify right side
    526.82x = 356,811.31
  5. Step 5: Solve for x
    x = 356,811.31/526.82
  6. Step 6: Final answer
    x = 677.30

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