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Finding the Fourth Proportional to 1,242.74, 1,864.37 and 420.99

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Solution

The fourth proportional to 1,242.74, 1,864.37 and 420.99 is: 631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.74 : 1,864.37 = 420.99 : x
  2. Step 2: Convert to fraction form
    1,242.74/1,864.37 = 420.99/x
  3. Step 3: Cross multiply
    1,242.74x = 1,864.37 × 420.99
  4. Step 4: Simplify right side
    1,242.74x = 784,879.02
  5. Step 5: Solve for x
    x = 784,879.02/1,242.74
  6. Step 6: Final answer
    x = 631.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.