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Finding the Fourth Proportional to 704.80, 973.02 and 495.62

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Solution

The fourth proportional to 704.80, 973.02 and 495.62 is: 684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.80 : 973.02 = 495.62 : x
  2. Step 2: Convert to fraction form
    704.80/973.02 = 495.62/x
  3. Step 3: Cross multiply
    704.80x = 973.02 × 495.62
  4. Step 4: Simplify right side
    704.80x = 482,248.17
  5. Step 5: Solve for x
    x = 482,248.17/704.80
  6. Step 6: Final answer
    x = 684.23

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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.