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Finding the Fourth Proportional to 941.57, 1,412.13 and 666.86

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Solution

The fourth proportional to 941.57, 1,412.13 and 666.86 is: 1,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.57 : 1,412.13 = 666.86 : x
  2. Step 2: Convert to fraction form
    941.57/1,412.13 = 666.86/x
  3. Step 3: Cross multiply
    941.57x = 1,412.13 × 666.86
  4. Step 4: Simplify right side
    941.57x = 941,693.01
  5. Step 5: Solve for x
    x = 941,693.01/941.57
  6. Step 6: Final answer
    x = 1,000.13

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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.