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Finding the Fourth Proportional to 1,470.84, 2,206.58 and 496.94

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Solution

The fourth proportional to 1,470.84, 2,206.58 and 496.94 is: 745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.84 : 2,206.58 = 496.94 : x
  2. Step 2: Convert to fraction form
    1,470.84/2,206.58 = 496.94/x
  3. Step 3: Cross multiply
    1,470.84x = 2,206.58 × 496.94
  4. Step 4: Simplify right side
    1,470.84x = 1,096,524.35
  5. Step 5: Solve for x
    x = 1,096,524.35/1,470.84
  6. Step 6: Final answer
    x = 745.51

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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.