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Finding the Fourth Proportional to 1,140.19, 1,707.21 and 591.23

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Solution

The fourth proportional to 1,140.19, 1,707.21 and 591.23 is: 885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.19 : 1,707.21 = 591.23 : x
  2. Step 2: Convert to fraction form
    1,140.19/1,707.21 = 591.23/x
  3. Step 3: Cross multiply
    1,140.19x = 1,707.21 × 591.23
  4. Step 4: Simplify right side
    1,140.19x = 1,009,358.04
  5. Step 5: Solve for x
    x = 1,009,358.04/1,140.19
  6. Step 6: Final answer
    x = 885.26

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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.