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Finding the Fourth Proportional to 1,015.12, 1,525.11 and 582.58

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Solution

The fourth proportional to 1,015.12, 1,525.11 and 582.58 is: 875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.12 : 1,525.11 = 582.58 : x
  2. Step 2: Convert to fraction form
    1,015.12/1,525.11 = 582.58/x
  3. Step 3: Cross multiply
    1,015.12x = 1,525.11 × 582.58
  4. Step 4: Simplify right side
    1,015.12x = 888,498.58
  5. Step 5: Solve for x
    x = 888,498.58/1,015.12
  6. Step 6: Final answer
    x = 875.26

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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.