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Finding the Fourth Proportional to 1,017.26, 1,525.30 and 400.25

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Solution

The fourth proportional to 1,017.26, 1,525.30 and 400.25 is: 600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.26 : 1,525.30 = 400.25 : x
  2. Step 2: Convert to fraction form
    1,017.26/1,525.30 = 400.25/x
  3. Step 3: Cross multiply
    1,017.26x = 1,525.30 × 400.25
  4. Step 4: Simplify right side
    1,017.26x = 610,501.33
  5. Step 5: Solve for x
    x = 610,501.33/1,017.26
  6. Step 6: Final answer
    x = 600.14

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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.