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Finding the Fourth Proportional to 1,487.76, 2,231.66 and 666.08

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Solution

The fourth proportional to 1,487.76, 2,231.66 and 666.08 is: 999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.76 : 2,231.66 = 666.08 : x
  2. Step 2: Convert to fraction form
    1,487.76/2,231.66 = 666.08/x
  3. Step 3: Cross multiply
    1,487.76x = 2,231.66 × 666.08
  4. Step 4: Simplify right side
    1,487.76x = 1,486,464.09
  5. Step 5: Solve for x
    x = 1,486,464.09/1,487.76
  6. Step 6: Final answer
    x = 999.13

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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.