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Finding the Fourth Proportional to 747.89, 1,032.18 and 485.81

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Solution

The fourth proportional to 747.89, 1,032.18 and 485.81 is: 670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.89 : 1,032.18 = 485.81 : x
  2. Step 2: Convert to fraction form
    747.89/1,032.18 = 485.81/x
  3. Step 3: Cross multiply
    747.89x = 1,032.18 × 485.81
  4. Step 4: Simplify right side
    747.89x = 501,443.37
  5. Step 5: Solve for x
    x = 501,443.37/747.89
  6. Step 6: Final answer
    x = 670.48

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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.