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Finding the Fourth Proportional to 1,354.48, 1,869.02 and 764.92

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Solution

The fourth proportional to 1,354.48, 1,869.02 and 764.92 is: 1,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.48 : 1,869.02 = 764.92 : x
  2. Step 2: Convert to fraction form
    1,354.48/1,869.02 = 764.92/x
  3. Step 3: Cross multiply
    1,354.48x = 1,869.02 × 764.92
  4. Step 4: Simplify right side
    1,354.48x = 1,429,650.78
  5. Step 5: Solve for x
    x = 1,429,650.78/1,354.48
  6. Step 6: Final answer
    x = 1,055.50

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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.