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Finding the Fourth Proportional to 1,018.26, 1,526.87 and 498.03

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Solution

The fourth proportional to 1,018.26, 1,526.87 and 498.03 is: 746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.26 : 1,526.87 = 498.03 : x
  2. Step 2: Convert to fraction form
    1,018.26/1,526.87 = 498.03/x
  3. Step 3: Cross multiply
    1,018.26x = 1,526.87 × 498.03
  4. Step 4: Simplify right side
    1,018.26x = 760,424.58
  5. Step 5: Solve for x
    x = 760,424.58/1,018.26
  6. Step 6: Final answer
    x = 746.79

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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.