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Finding the Fourth Proportional to 1,111.66, 1,666.41 and 462.94

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Solution

The fourth proportional to 1,111.66, 1,666.41 and 462.94 is: 693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.66 : 1,666.41 = 462.94 : x
  2. Step 2: Convert to fraction form
    1,111.66/1,666.41 = 462.94/x
  3. Step 3: Cross multiply
    1,111.66x = 1,666.41 × 462.94
  4. Step 4: Simplify right side
    1,111.66x = 771,447.85
  5. Step 5: Solve for x
    x = 771,447.85/1,111.66
  6. Step 6: Final answer
    x = 693.96

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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.