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Finding the Fourth Proportional to 875.87, 1,313.88 and 388.84

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Solution

The fourth proportional to 875.87, 1,313.88 and 388.84 is: 583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.87 : 1,313.88 = 388.84 : x
  2. Step 2: Convert to fraction form
    875.87/1,313.88 = 388.84/x
  3. Step 3: Cross multiply
    875.87x = 1,313.88 × 388.84
  4. Step 4: Simplify right side
    875.87x = 510,889.10
  5. Step 5: Solve for x
    x = 510,889.10/875.87
  6. Step 6: Final answer
    x = 583.29

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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.