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Finding the Fourth Proportional to 1,471.01, 2,206.71 and 496.89

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Solution

The fourth proportional to 1,471.01, 2,206.71 and 496.89 is: 745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.01 : 2,206.71 = 496.89 : x
  2. Step 2: Convert to fraction form
    1,471.01/2,206.71 = 496.89/x
  3. Step 3: Cross multiply
    1,471.01x = 2,206.71 × 496.89
  4. Step 4: Simplify right side
    1,471.01x = 1,096,492.13
  5. Step 5: Solve for x
    x = 1,096,492.13/1,471.01
  6. Step 6: Final answer
    x = 745.40

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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.