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Finding the Fourth Proportional to 1,242.93, 1,864.50 and 462.90

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Solution

The fourth proportional to 1,242.93, 1,864.50 and 462.90 is: 694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.93 : 1,864.50 = 462.90 : x
  2. Step 2: Convert to fraction form
    1,242.93/1,864.50 = 462.90/x
  3. Step 3: Cross multiply
    1,242.93x = 1,864.50 × 462.90
  4. Step 4: Simplify right side
    1,242.93x = 863,077.05
  5. Step 5: Solve for x
    x = 863,077.05/1,242.93
  6. Step 6: Final answer
    x = 694.39

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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.