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Finding the Fourth Proportional to 1,205.34, 1,663.16 and 733.14

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Solution

The fourth proportional to 1,205.34, 1,663.16 and 733.14 is: 1,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.34 : 1,663.16 = 733.14 : x
  2. Step 2: Convert to fraction form
    1,205.34/1,663.16 = 733.14/x
  3. Step 3: Cross multiply
    1,205.34x = 1,663.16 × 733.14
  4. Step 4: Simplify right side
    1,205.34x = 1,219,325.46
  5. Step 5: Solve for x
    x = 1,219,325.46/1,205.34
  6. Step 6: Final answer
    x = 1,011.60

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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.