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Finding the Fourth Proportional to 1,471.08, 2,206.64 and 497.18

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Solution

The fourth proportional to 1,471.08, 2,206.64 and 497.18 is: 745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.08 : 2,206.64 = 497.18 : x
  2. Step 2: Convert to fraction form
    1,471.08/2,206.64 = 497.18/x
  3. Step 3: Cross multiply
    1,471.08x = 2,206.64 × 497.18
  4. Step 4: Simplify right side
    1,471.08x = 1,097,097.28
  5. Step 5: Solve for x
    x = 1,097,097.28/1,471.08
  6. Step 6: Final answer
    x = 745.78

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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.