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Finding the Fourth Proportional to 1,153.27, 1,591.50 and 705.14

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Solution

The fourth proportional to 1,153.27, 1,591.50 and 705.14 is: 973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.27 : 1,591.50 = 705.14 : x
  2. Step 2: Convert to fraction form
    1,153.27/1,591.50 = 705.14/x
  3. Step 3: Cross multiply
    1,153.27x = 1,591.50 × 705.14
  4. Step 4: Simplify right side
    1,153.27x = 1,122,230.31
  5. Step 5: Solve for x
    x = 1,122,230.31/1,153.27
  6. Step 6: Final answer
    x = 973.09

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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.