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Finding the Fourth Proportional to 875.73, 1,313.65 and 382.15

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Solution

The fourth proportional to 875.73, 1,313.65 and 382.15 is: 573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.73 : 1,313.65 = 382.15 : x
  2. Step 2: Convert to fraction form
    875.73/1,313.65 = 382.15/x
  3. Step 3: Cross multiply
    875.73x = 1,313.65 × 382.15
  4. Step 4: Simplify right side
    875.73x = 502,013.47
  5. Step 5: Solve for x
    x = 502,013.47/875.73
  6. Step 6: Final answer
    x = 573.25

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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.