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Finding the Fourth Proportional to 1,214.50, 1,676.02 and 690.62

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Solution

The fourth proportional to 1,214.50, 1,676.02 and 690.62 is: 953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.50 : 1,676.02 = 690.62 : x
  2. Step 2: Convert to fraction form
    1,214.50/1,676.02 = 690.62/x
  3. Step 3: Cross multiply
    1,214.50x = 1,676.02 × 690.62
  4. Step 4: Simplify right side
    1,214.50x = 1,157,492.93
  5. Step 5: Solve for x
    x = 1,157,492.93/1,214.50
  6. Step 6: Final answer
    x = 953.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.