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Finding the Fourth Proportional to 1,362.62, 2,043.53 and 497.00

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Solution

The fourth proportional to 1,362.62, 2,043.53 and 497.00 is: 745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.62 : 2,043.53 = 497.00 : x
  2. Step 2: Convert to fraction form
    1,362.62/2,043.53 = 497.00/x
  3. Step 3: Cross multiply
    1,362.62x = 2,043.53 × 497.00
  4. Step 4: Simplify right side
    1,362.62x = 1,015,638.90
  5. Step 5: Solve for x
    x = 1,015,638.90/1,362.62
  6. Step 6: Final answer
    x = 745.36

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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.