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Finding the Fourth Proportional to 956.76, 1,435.77 and 524.22

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Solution

The fourth proportional to 956.76, 1,435.77 and 524.22 is: 786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.76 : 1,435.77 = 524.22 : x
  2. Step 2: Convert to fraction form
    956.76/1,435.77 = 524.22/x
  3. Step 3: Cross multiply
    956.76x = 1,435.77 × 524.22
  4. Step 4: Simplify right side
    956.76x = 752,659.35
  5. Step 5: Solve for x
    x = 752,659.35/956.76
  6. Step 6: Final answer
    x = 786.68

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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.