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Finding the Fourth Proportional to 868.37, 1,303.09 and 457.79

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Solution

The fourth proportional to 868.37, 1,303.09 and 457.79 is: 686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.37 : 1,303.09 = 457.79 : x
  2. Step 2: Convert to fraction form
    868.37/1,303.09 = 457.79/x
  3. Step 3: Cross multiply
    868.37x = 1,303.09 × 457.79
  4. Step 4: Simplify right side
    868.37x = 596,533.91
  5. Step 5: Solve for x
    x = 596,533.91/868.37
  6. Step 6: Final answer
    x = 686.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.