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Finding the Fourth Proportional to 1,111.04, 1,666.92 and 462.08

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Solution

The fourth proportional to 1,111.04, 1,666.92 and 462.08 is: 693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.04 : 1,666.92 = 462.08 : x
  2. Step 2: Convert to fraction form
    1,111.04/1,666.92 = 462.08/x
  3. Step 3: Cross multiply
    1,111.04x = 1,666.92 × 462.08
  4. Step 4: Simplify right side
    1,111.04x = 770,250.39
  5. Step 5: Solve for x
    x = 770,250.39/1,111.04
  6. Step 6: Final answer
    x = 693.27

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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.