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Finding the Fourth Proportional to 1,207.29, 1,808.85 and 948.96

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Solution

The fourth proportional to 1,207.29, 1,808.85 and 948.96 is: 1,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.29 : 1,808.85 = 948.96 : x
  2. Step 2: Convert to fraction form
    1,207.29/1,808.85 = 948.96/x
  3. Step 3: Cross multiply
    1,207.29x = 1,808.85 × 948.96
  4. Step 4: Simplify right side
    1,207.29x = 1,716,526.30
  5. Step 5: Solve for x
    x = 1,716,526.30/1,207.29
  6. Step 6: Final answer
    x = 1,421.80

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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.