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Finding the Fourth Proportional to 1,018.00, 1,526.04 and 497.73

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Solution

The fourth proportional to 1,018.00, 1,526.04 and 497.73 is: 746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.00 : 1,526.04 = 497.73 : x
  2. Step 2: Convert to fraction form
    1,018.00/1,526.04 = 497.73/x
  3. Step 3: Cross multiply
    1,018.00x = 1,526.04 × 497.73
  4. Step 4: Simplify right side
    1,018.00x = 759,553.03
  5. Step 5: Solve for x
    x = 759,553.03/1,018.00
  6. Step 6: Final answer
    x = 746.12

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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.