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Finding the Fourth Proportional to 1,154.23, 1,727.93 and 742.14

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Solution

The fourth proportional to 1,154.23, 1,727.93 and 742.14 is: 1,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.23 : 1,727.93 = 742.14 : x
  2. Step 2: Convert to fraction form
    1,154.23/1,727.93 = 742.14/x
  3. Step 3: Cross multiply
    1,154.23x = 1,727.93 × 742.14
  4. Step 4: Simplify right side
    1,154.23x = 1,282,362.26
  5. Step 5: Solve for x
    x = 1,282,362.26/1,154.23
  6. Step 6: Final answer
    x = 1,111.02

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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.