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Finding the Fourth Proportional to 1,243.68, 1,865.58 and 463.89

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Solution

The fourth proportional to 1,243.68, 1,865.58 and 463.89 is: 695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.68 : 1,865.58 = 463.89 : x
  2. Step 2: Convert to fraction form
    1,243.68/1,865.58 = 463.89/x
  3. Step 3: Cross multiply
    1,243.68x = 1,865.58 × 463.89
  4. Step 4: Simplify right side
    1,243.68x = 865,423.91
  5. Step 5: Solve for x
    x = 865,423.91/1,243.68
  6. Step 6: Final answer
    x = 695.86

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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.