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Finding the Fourth Proportional to 1,242.28, 1,864.86 and 666.28

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Solution

The fourth proportional to 1,242.28, 1,864.86 and 666.28 is: 1,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.28 : 1,864.86 = 666.28 : x
  2. Step 2: Convert to fraction form
    1,242.28/1,864.86 = 666.28/x
  3. Step 3: Cross multiply
    1,242.28x = 1,864.86 × 666.28
  4. Step 4: Simplify right side
    1,242.28x = 1,242,518.92
  5. Step 5: Solve for x
    x = 1,242,518.92/1,242.28
  6. Step 6: Final answer
    x = 1,000.19

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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.