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Finding the Fourth Proportional to 1,242.69, 1,864.05 and 377.04

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Solution

The fourth proportional to 1,242.69, 1,864.05 and 377.04 is: 565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.69 : 1,864.05 = 377.04 : x
  2. Step 2: Convert to fraction form
    1,242.69/1,864.05 = 377.04/x
  3. Step 3: Cross multiply
    1,242.69x = 1,864.05 × 377.04
  4. Step 4: Simplify right side
    1,242.69x = 702,821.41
  5. Step 5: Solve for x
    x = 702,821.41/1,242.69
  6. Step 6: Final answer
    x = 565.56

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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.