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Finding the Fourth Proportional to 1,218.75, 1,828.35 and 488.40

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Solution

The fourth proportional to 1,218.75, 1,828.35 and 488.40 is: 732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.75 : 1,828.35 = 488.40 : x
  2. Step 2: Convert to fraction form
    1,218.75/1,828.35 = 488.40/x
  3. Step 3: Cross multiply
    1,218.75x = 1,828.35 × 488.40
  4. Step 4: Simplify right side
    1,218.75x = 892,966.14
  5. Step 5: Solve for x
    x = 892,966.14/1,218.75
  6. Step 6: Final answer
    x = 732.69

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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.