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Finding the Fourth Proportional to 1,140.31, 1,707.38 and 591.34

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Solution

The fourth proportional to 1,140.31, 1,707.38 and 591.34 is: 885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.31 : 1,707.38 = 591.34 : x
  2. Step 2: Convert to fraction form
    1,140.31/1,707.38 = 591.34/x
  3. Step 3: Cross multiply
    1,140.31x = 1,707.38 × 591.34
  4. Step 4: Simplify right side
    1,140.31x = 1,009,641.39
  5. Step 5: Solve for x
    x = 1,009,641.39/1,140.31
  6. Step 6: Final answer
    x = 885.41

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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.