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Finding the Fourth Proportional to 1,363.48, 1,881.62 and 742.48

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Solution

The fourth proportional to 1,363.48, 1,881.62 and 742.48 is: 1,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.48 : 1,881.62 = 742.48 : x
  2. Step 2: Convert to fraction form
    1,363.48/1,881.62 = 742.48/x
  3. Step 3: Cross multiply
    1,363.48x = 1,881.62 × 742.48
  4. Step 4: Simplify right side
    1,363.48x = 1,397,061.51
  5. Step 5: Solve for x
    x = 1,397,061.51/1,363.48
  6. Step 6: Final answer
    x = 1,024.63

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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.