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Finding the Fourth Proportional to 1,354.04, 1,868.50 and 764.59

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Solution

The fourth proportional to 1,354.04, 1,868.50 and 764.59 is: 1,055.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.04 : 1,868.50 = 764.59 : x
  2. Step 2: Convert to fraction form
    1,354.04/1,868.50 = 764.59/x
  3. Step 3: Cross multiply
    1,354.04x = 1,868.50 × 764.59
  4. Step 4: Simplify right side
    1,354.04x = 1,428,636.42
  5. Step 5: Solve for x
    x = 1,428,636.42/1,354.04
  6. Step 6: Final answer
    x = 1,055.09

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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.