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Finding the Fourth Proportional to 875.58, 1,313.37 and 259.33

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Solution

The fourth proportional to 875.58, 1,313.37 and 259.33 is: 389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.58 : 1,313.37 = 259.33 : x
  2. Step 2: Convert to fraction form
    875.58/1,313.37 = 259.33/x
  3. Step 3: Cross multiply
    875.58x = 1,313.37 × 259.33
  4. Step 4: Simplify right side
    875.58x = 340,596.24
  5. Step 5: Solve for x
    x = 340,596.24/875.58
  6. Step 6: Final answer
    x = 389.00

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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.