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Finding the Fourth Proportional to 1,248.90, 1,874.04 and 468.88

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Solution

The fourth proportional to 1,248.90, 1,874.04 and 468.88 is: 703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.90 : 1,874.04 = 468.88 : x
  2. Step 2: Convert to fraction form
    1,248.90/1,874.04 = 468.88/x
  3. Step 3: Cross multiply
    1,248.90x = 1,874.04 × 468.88
  4. Step 4: Simplify right side
    1,248.90x = 878,699.88
  5. Step 5: Solve for x
    x = 878,699.88/1,248.90
  6. Step 6: Final answer
    x = 703.58

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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.