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Finding the Fourth Proportional to 949.03, 1,421.35 and 916.20

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Solution

The fourth proportional to 949.03, 1,421.35 and 916.20 is: 1,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.03 : 1,421.35 = 916.20 : x
  2. Step 2: Convert to fraction form
    949.03/1,421.35 = 916.20/x
  3. Step 3: Cross multiply
    949.03x = 1,421.35 × 916.20
  4. Step 4: Simplify right side
    949.03x = 1,302,238.58
  5. Step 5: Solve for x
    x = 1,302,238.58/949.03
  6. Step 6: Final answer
    x = 1,372.18

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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.