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Finding the Fourth Proportional to 875.46, 1,313.67 and 388.98

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Solution

The fourth proportional to 875.46, 1,313.67 and 388.98 is: 583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.46 : 1,313.67 = 388.98 : x
  2. Step 2: Convert to fraction form
    875.46/1,313.67 = 388.98/x
  3. Step 3: Cross multiply
    875.46x = 1,313.67 × 388.98
  4. Step 4: Simplify right side
    875.46x = 510,991.36
  5. Step 5: Solve for x
    x = 510,991.36/875.46
  6. Step 6: Final answer
    x = 583.68

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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.