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Finding the Fourth Proportional to 1,140.49, 1,709.67 and 619.72

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Solution

The fourth proportional to 1,140.49, 1,709.67 and 619.72 is: 929.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.49 : 1,709.67 = 619.72 : x
  2. Step 2: Convert to fraction form
    1,140.49/1,709.67 = 619.72/x
  3. Step 3: Cross multiply
    1,140.49x = 1,709.67 × 619.72
  4. Step 4: Simplify right side
    1,140.49x = 1,059,516.69
  5. Step 5: Solve for x
    x = 1,059,516.69/1,140.49
  6. Step 6: Final answer
    x = 929.00

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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.