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Finding the Fourth Proportional to 679.95, 1,020.47 and 355.41

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Solution

The fourth proportional to 679.95, 1,020.47 and 355.41 is: 533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.95 : 1,020.47 = 355.41 : x
  2. Step 2: Convert to fraction form
    679.95/1,020.47 = 355.41/x
  3. Step 3: Cross multiply
    679.95x = 1,020.47 × 355.41
  4. Step 4: Simplify right side
    679.95x = 362,683.47
  5. Step 5: Solve for x
    x = 362,683.47/679.95
  6. Step 6: Final answer
    x = 533.40

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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.