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Finding the Fourth Proportional to 955.86, 1,435.16 and 589.54

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Solution

The fourth proportional to 955.86, 1,435.16 and 589.54 is: 885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.86 : 1,435.16 = 589.54 : x
  2. Step 2: Convert to fraction form
    955.86/1,435.16 = 589.54/x
  3. Step 3: Cross multiply
    955.86x = 1,435.16 × 589.54
  4. Step 4: Simplify right side
    955.86x = 846,084.23
  5. Step 5: Solve for x
    x = 846,084.23/955.86
  6. Step 6: Final answer
    x = 885.15

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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.