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Finding the Fourth Proportional to 1,111.46, 1,667.13 and 462.20

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Solution

The fourth proportional to 1,111.46, 1,667.13 and 462.20 is: 693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.46 : 1,667.13 = 462.20 : x
  2. Step 2: Convert to fraction form
    1,111.46/1,667.13 = 462.20/x
  3. Step 3: Cross multiply
    1,111.46x = 1,667.13 × 462.20
  4. Step 4: Simplify right side
    1,111.46x = 770,547.49
  5. Step 5: Solve for x
    x = 770,547.49/1,111.46
  6. Step 6: Final answer
    x = 693.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.