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Finding the Fourth Proportional to 955.02, 1,432.85 and 589.30

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Solution

The fourth proportional to 955.02, 1,432.85 and 589.30 is: 884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.02 : 1,432.85 = 589.30 : x
  2. Step 2: Convert to fraction form
    955.02/1,432.85 = 589.30/x
  3. Step 3: Cross multiply
    955.02x = 1,432.85 × 589.30
  4. Step 4: Simplify right side
    955.02x = 844,378.51
  5. Step 5: Solve for x
    x = 844,378.51/955.02
  6. Step 6: Final answer
    x = 884.15

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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.