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Finding the Fourth Proportional to 1,470.92, 2,206.06 and 497

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Solution

The fourth proportional to 1,470.92, 2,206.06 and 497 is: 745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.92 : 2,206.06 = 497 : x
  2. Step 2: Convert to fraction form
    1,470.92/2,206.06 = 497/x
  3. Step 3: Cross multiply
    1,470.92x = 2,206.06 × 497
  4. Step 4: Simplify right side
    1,470.92x = 1,096,411.82
  5. Step 5: Solve for x
    x = 1,096,411.82/1,470.92
  6. Step 6: Final answer
    x = 745.39

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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.