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Finding the Fourth Proportional to 746.79, 1,120.47 and 454.89

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Solution

The fourth proportional to 746.79, 1,120.47 and 454.89 is: 682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.79 : 1,120.47 = 454.89 : x
  2. Step 2: Convert to fraction form
    746.79/1,120.47 = 454.89/x
  3. Step 3: Cross multiply
    746.79x = 1,120.47 × 454.89
  4. Step 4: Simplify right side
    746.79x = 509,690.60
  5. Step 5: Solve for x
    x = 509,690.60/746.79
  6. Step 6: Final answer
    x = 682.51

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Why These Related Problems?

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