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Finding the Fourth Proportional to 1,140.45, 1,710.96 and 473.21

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Solution

The fourth proportional to 1,140.45, 1,710.96 and 473.21 is: 709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.45 : 1,710.96 = 473.21 : x
  2. Step 2: Convert to fraction form
    1,140.45/1,710.96 = 473.21/x
  3. Step 3: Cross multiply
    1,140.45x = 1,710.96 × 473.21
  4. Step 4: Simplify right side
    1,140.45x = 809,634.83
  5. Step 5: Solve for x
    x = 809,634.83/1,140.45
  6. Step 6: Final answer
    x = 709.93

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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.