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Finding the Fourth Proportional to 1,471.59, 2,205.96 and 497.16

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Solution

The fourth proportional to 1,471.59, 2,205.96 and 497.16 is: 745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.59 : 2,205.96 = 497.16 : x
  2. Step 2: Convert to fraction form
    1,471.59/2,205.96 = 497.16/x
  3. Step 3: Cross multiply
    1,471.59x = 2,205.96 × 497.16
  4. Step 4: Simplify right side
    1,471.59x = 1,096,715.07
  5. Step 5: Solve for x
    x = 1,096,715.07/1,471.59
  6. Step 6: Final answer
    x = 745.26

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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.