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Finding the Fourth Proportional to 1,153.19, 1,591.40 and 629.22

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Solution

The fourth proportional to 1,153.19, 1,591.40 and 629.22 is: 868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.19 : 1,591.40 = 629.22 : x
  2. Step 2: Convert to fraction form
    1,153.19/1,591.40 = 629.22/x
  3. Step 3: Cross multiply
    1,153.19x = 1,591.40 × 629.22
  4. Step 4: Simplify right side
    1,153.19x = 1,001,340.71
  5. Step 5: Solve for x
    x = 1,001,340.71/1,153.19
  6. Step 6: Final answer
    x = 868.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.