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Finding the Fourth Proportional to 1,140.04, 1,709.72 and 446.68

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Solution

The fourth proportional to 1,140.04, 1,709.72 and 446.68 is: 669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.04 : 1,709.72 = 446.68 : x
  2. Step 2: Convert to fraction form
    1,140.04/1,709.72 = 446.68/x
  3. Step 3: Cross multiply
    1,140.04x = 1,709.72 × 446.68
  4. Step 4: Simplify right side
    1,140.04x = 763,697.73
  5. Step 5: Solve for x
    x = 763,697.73/1,140.04
  6. Step 6: Final answer
    x = 669.89

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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.