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Finding the Fourth Proportional to 1,016.90, 1,525.42 and 497.33

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Solution

The fourth proportional to 1,016.90, 1,525.42 and 497.33 is: 746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.90 : 1,525.42 = 497.33 : x
  2. Step 2: Convert to fraction form
    1,016.90/1,525.42 = 497.33/x
  3. Step 3: Cross multiply
    1,016.90x = 1,525.42 × 497.33
  4. Step 4: Simplify right side
    1,016.90x = 758,637.13
  5. Step 5: Solve for x
    x = 758,637.13/1,016.90
  6. Step 6: Final answer
    x = 746.03

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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.