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Finding the Fourth Proportional to 875.40, 1,313.28 and 259.05

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Solution

The fourth proportional to 875.40, 1,313.28 and 259.05 is: 388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.40 : 1,313.28 = 259.05 : x
  2. Step 2: Convert to fraction form
    875.40/1,313.28 = 259.05/x
  3. Step 3: Cross multiply
    875.40x = 1,313.28 × 259.05
  4. Step 4: Simplify right side
    875.40x = 340,205.18
  5. Step 5: Solve for x
    x = 340,205.18/875.40
  6. Step 6: Final answer
    x = 388.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.