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Finding the Fourth Proportional to 1,471.35, 2,206.32 and 497.13

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Solution

The fourth proportional to 1,471.35, 2,206.32 and 497.13 is: 745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.35 : 2,206.32 = 497.13 : x
  2. Step 2: Convert to fraction form
    1,471.35/2,206.32 = 497.13/x
  3. Step 3: Cross multiply
    1,471.35x = 2,206.32 × 497.13
  4. Step 4: Simplify right side
    1,471.35x = 1,096,827.86
  5. Step 5: Solve for x
    x = 1,096,827.86/1,471.35
  6. Step 6: Final answer
    x = 745.46

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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.