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Finding the Fourth Proportional to 1,215.51, 1,822.79 and 666.93

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Solution

The fourth proportional to 1,215.51, 1,822.79 and 666.93 is: 1,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.51 : 1,822.79 = 666.93 : x
  2. Step 2: Convert to fraction form
    1,215.51/1,822.79 = 666.93/x
  3. Step 3: Cross multiply
    1,215.51x = 1,822.79 × 666.93
  4. Step 4: Simplify right side
    1,215.51x = 1,215,673.33
  5. Step 5: Solve for x
    x = 1,215,673.33/1,215.51
  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.