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Finding the Fourth Proportional to 1,154, 1,728.72 and 742.16

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Solution

The fourth proportional to 1,154, 1,728.72 and 742.16 is: 1,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154 : 1,728.72 = 742.16 : x
  2. Step 2: Convert to fraction form
    1,154/1,728.72 = 742.16/x
  3. Step 3: Cross multiply
    1,154x = 1,728.72 × 742.16
  4. Step 4: Simplify right side
    1,154x = 1,282,986.84
  5. Step 5: Solve for x
    x = 1,282,986.84/1,154
  6. Step 6: Final answer
    x = 1,111.77

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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.