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Finding the Fourth Proportional to 1,651.84, 2,478.14 and 497.68

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Solution

The fourth proportional to 1,651.84, 2,478.14 and 497.68 is: 746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.84 : 2,478.14 = 497.68 : x
  2. Step 2: Convert to fraction form
    1,651.84/2,478.14 = 497.68/x
  3. Step 3: Cross multiply
    1,651.84x = 2,478.14 × 497.68
  4. Step 4: Simplify right side
    1,651.84x = 1,233,320.72
  5. Step 5: Solve for x
    x = 1,233,320.72/1,651.84
  6. Step 6: Final answer
    x = 746.63

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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.