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Finding the Fourth Proportional to 1,667.95, 2,502.29 and 498.05

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Solution

The fourth proportional to 1,667.95, 2,502.29 and 498.05 is: 747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.95 : 2,502.29 = 498.05 : x
  2. Step 2: Convert to fraction form
    1,667.95/2,502.29 = 498.05/x
  3. Step 3: Cross multiply
    1,667.95x = 2,502.29 × 498.05
  4. Step 4: Simplify right side
    1,667.95x = 1,246,255.22
  5. Step 5: Solve for x
    x = 1,246,255.22/1,667.95
  6. Step 6: Final answer
    x = 747.18

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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.