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Finding the Fourth Proportional to 875.87, 1,313.53 and 259.55

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Solution

The fourth proportional to 875.87, 1,313.53 and 259.55 is: 389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.87 : 1,313.53 = 259.55 : x
  2. Step 2: Convert to fraction form
    875.87/1,313.53 = 259.55/x
  3. Step 3: Cross multiply
    875.87x = 1,313.53 × 259.55
  4. Step 4: Simplify right side
    875.87x = 340,929.35
  5. Step 5: Solve for x
    x = 340,929.35/875.87
  6. Step 6: Final answer
    x = 389.25

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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.