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Finding the Fourth Proportional to 1,153.99, 1,729.24 and 860.10

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Solution

The fourth proportional to 1,153.99, 1,729.24 and 860.10 is: 1,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.99 : 1,729.24 = 860.10 : x
  2. Step 2: Convert to fraction form
    1,153.99/1,729.24 = 860.10/x
  3. Step 3: Cross multiply
    1,153.99x = 1,729.24 × 860.10
  4. Step 4: Simplify right side
    1,153.99x = 1,487,317.17
  5. Step 5: Solve for x
    x = 1,487,317.17/1,153.99
  6. Step 6: Final answer
    x = 1,288.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.