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Finding the Fourth Proportional to 1,407.74, 2,109.62 and 666.56

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Solution

The fourth proportional to 1,407.74, 2,109.62 and 666.56 is: 998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.74 : 2,109.62 = 666.56 : x
  2. Step 2: Convert to fraction form
    1,407.74/2,109.62 = 666.56/x
  3. Step 3: Cross multiply
    1,407.74x = 2,109.62 × 666.56
  4. Step 4: Simplify right side
    1,407.74x = 1,406,188.31
  5. Step 5: Solve for x
    x = 1,406,188.31/1,407.74
  6. Step 6: Final answer
    x = 998.90

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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.