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Finding the Fourth Proportional to 1,242.98, 1,864.86 and 512.90

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Solution

The fourth proportional to 1,242.98, 1,864.86 and 512.90 is: 769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.98 : 1,864.86 = 512.90 : x
  2. Step 2: Convert to fraction form
    1,242.98/1,864.86 = 512.90/x
  3. Step 3: Cross multiply
    1,242.98x = 1,864.86 × 512.90
  4. Step 4: Simplify right side
    1,242.98x = 956,486.69
  5. Step 5: Solve for x
    x = 956,486.69/1,242.98
  6. Step 6: Final answer
    x = 769.51

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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.