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Finding the Fourth Proportional to 1,248.94, 1,873.68 and 599.32

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Solution

The fourth proportional to 1,248.94, 1,873.68 and 599.32 is: 899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.94 : 1,873.68 = 599.32 : x
  2. Step 2: Convert to fraction form
    1,248.94/1,873.68 = 599.32/x
  3. Step 3: Cross multiply
    1,248.94x = 1,873.68 × 599.32
  4. Step 4: Simplify right side
    1,248.94x = 1,122,933.90
  5. Step 5: Solve for x
    x = 1,122,933.90/1,248.94
  6. Step 6: Final answer
    x = 899.11

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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.