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Finding the Fourth Proportional to 1,228.02, 1,842.59 and 458.58

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Solution

The fourth proportional to 1,228.02, 1,842.59 and 458.58 is: 688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.02 : 1,842.59 = 458.58 : x
  2. Step 2: Convert to fraction form
    1,228.02/1,842.59 = 458.58/x
  3. Step 3: Cross multiply
    1,228.02x = 1,842.59 × 458.58
  4. Step 4: Simplify right side
    1,228.02x = 844,974.92
  5. Step 5: Solve for x
    x = 844,974.92/1,228.02
  6. Step 6: Final answer
    x = 688.08

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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.