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Finding the Fourth Proportional to 1,347.48, 2,021.08 and 469.96

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Solution

The fourth proportional to 1,347.48, 2,021.08 and 469.96 is: 704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.48 : 2,021.08 = 469.96 : x
  2. Step 2: Convert to fraction form
    1,347.48/2,021.08 = 469.96/x
  3. Step 3: Cross multiply
    1,347.48x = 2,021.08 × 469.96
  4. Step 4: Simplify right side
    1,347.48x = 949,826.76
  5. Step 5: Solve for x
    x = 949,826.76/1,347.48
  6. Step 6: Final answer
    x = 704.89

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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.