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Finding the Fourth Proportional to 959.34, 1,438.80 and 611.58

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Solution

The fourth proportional to 959.34, 1,438.80 and 611.58 is: 917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.34 : 1,438.80 = 611.58 : x
  2. Step 2: Convert to fraction form
    959.34/1,438.80 = 611.58/x
  3. Step 3: Cross multiply
    959.34x = 1,438.80 × 611.58
  4. Step 4: Simplify right side
    959.34x = 879,941.30
  5. Step 5: Solve for x
    x = 879,941.30/959.34
  6. Step 6: Final answer
    x = 917.24

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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.