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Finding the Fourth Proportional to 648.68, 973.92 and 619.29

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Solution

The fourth proportional to 648.68, 973.92 and 619.29 is: 929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.68 : 973.92 = 619.29 : x
  2. Step 2: Convert to fraction form
    648.68/973.92 = 619.29/x
  3. Step 3: Cross multiply
    648.68x = 973.92 × 619.29
  4. Step 4: Simplify right side
    648.68x = 603,135.60
  5. Step 5: Solve for x
    x = 603,135.60/648.68
  6. Step 6: Final answer
    x = 929.80

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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.