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Finding the Fourth Proportional to 875.06, 1,313.03 and 582.75

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Solution

The fourth proportional to 875.06, 1,313.03 and 582.75 is: 874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.06 : 1,313.03 = 582.75 : x
  2. Step 2: Convert to fraction form
    875.06/1,313.03 = 582.75/x
  3. Step 3: Cross multiply
    875.06x = 1,313.03 × 582.75
  4. Step 4: Simplify right side
    875.06x = 765,165.32
  5. Step 5: Solve for x
    x = 765,165.32/875.06
  6. Step 6: Final answer
    x = 874.42

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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.