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Finding the Fourth Proportional to 1,242.70, 1,864.14 and 512.08

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Solution

The fourth proportional to 1,242.70, 1,864.14 and 512.08 is: 768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.70 : 1,864.14 = 512.08 : x
  2. Step 2: Convert to fraction form
    1,242.70/1,864.14 = 512.08/x
  3. Step 3: Cross multiply
    1,242.70x = 1,864.14 × 512.08
  4. Step 4: Simplify right side
    1,242.70x = 954,588.81
  5. Step 5: Solve for x
    x = 954,588.81/1,242.70
  6. Step 6: Final answer
    x = 768.16

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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.