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Finding the Fourth Proportional to 1,233.40, 1,852.45 and 714.44

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Solution

The fourth proportional to 1,233.40, 1,852.45 and 714.44 is: 1,073.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.40 : 1,852.45 = 714.44 : x
  2. Step 2: Convert to fraction form
    1,233.40/1,852.45 = 714.44/x
  3. Step 3: Cross multiply
    1,233.40x = 1,852.45 × 714.44
  4. Step 4: Simplify right side
    1,233.40x = 1,323,471.24
  5. Step 5: Solve for x
    x = 1,323,471.24/1,233.40
  6. Step 6: Final answer
    x = 1,073.03

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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.