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Finding the Fourth Proportional to 1,652, 2,478.40 and 497.78

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Solution

The fourth proportional to 1,652, 2,478.40 and 497.78 is: 746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652 : 2,478.40 = 497.78 : x
  2. Step 2: Convert to fraction form
    1,652/2,478.40 = 497.78/x
  3. Step 3: Cross multiply
    1,652x = 2,478.40 × 497.78
  4. Step 4: Simplify right side
    1,652x = 1,233,697.95
  5. Step 5: Solve for x
    x = 1,233,697.95/1,652
  6. Step 6: Final answer
    x = 746.79

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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.