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Finding the Fourth Proportional to 746.16, 1,113.70 and 648.96

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Solution

The fourth proportional to 746.16, 1,113.70 and 648.96 is: 968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.16 : 1,113.70 = 648.96 : x
  2. Step 2: Convert to fraction form
    746.16/1,113.70 = 648.96/x
  3. Step 3: Cross multiply
    746.16x = 1,113.70 × 648.96
  4. Step 4: Simplify right side
    746.16x = 722,748.43
  5. Step 5: Solve for x
    x = 722,748.43/746.16
  6. Step 6: Final answer
    x = 968.62

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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.