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Finding the Fourth Proportional to 749.86, 1,035.59 and 631.80

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Solution

The fourth proportional to 749.86, 1,035.59 and 631.80 is: 872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.86 : 1,035.59 = 631.80 : x
  2. Step 2: Convert to fraction form
    749.86/1,035.59 = 631.80/x
  3. Step 3: Cross multiply
    749.86x = 1,035.59 × 631.80
  4. Step 4: Simplify right side
    749.86x = 654,282.60
  5. Step 5: Solve for x
    x = 654,282.60/749.86
  6. Step 6: Final answer
    x = 872.54

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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.