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Finding the Fourth Proportional to 1,153.76, 1,728.24 and 782.40

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Solution

The fourth proportional to 1,153.76, 1,728.24 and 782.40 is: 1,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.76 : 1,728.24 = 782.40 : x
  2. Step 2: Convert to fraction form
    1,153.76/1,728.24 = 782.40/x
  3. Step 3: Cross multiply
    1,153.76x = 1,728.24 × 782.40
  4. Step 4: Simplify right side
    1,153.76x = 1,352,174.98
  5. Step 5: Solve for x
    x = 1,352,174.98/1,153.76
  6. Step 6: Final answer
    x = 1,171.97

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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.