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Finding the Fourth Proportional to 1,139.99, 1,573.29 and 642.71

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Solution

The fourth proportional to 1,139.99, 1,573.29 and 642.71 is: 887.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.99 : 1,573.29 = 642.71 : x
  2. Step 2: Convert to fraction form
    1,139.99/1,573.29 = 642.71/x
  3. Step 3: Cross multiply
    1,139.99x = 1,573.29 × 642.71
  4. Step 4: Simplify right side
    1,139.99x = 1,011,173.15
  5. Step 5: Solve for x
    x = 1,011,173.15/1,139.99
  6. Step 6: Final answer
    x = 887.01

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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.