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Finding the Fourth Proportional to 1,140.10, 1,573.26 and 642.82

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Solution

The fourth proportional to 1,140.10, 1,573.26 and 642.82 is: 887.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.10 : 1,573.26 = 642.82 : x
  2. Step 2: Convert to fraction form
    1,140.10/1,573.26 = 642.82/x
  3. Step 3: Cross multiply
    1,140.10x = 1,573.26 × 642.82
  4. Step 4: Simplify right side
    1,140.10x = 1,011,322.99
  5. Step 5: Solve for x
    x = 1,011,322.99/1,140.10
  6. Step 6: Final answer
    x = 887.05

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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.