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Finding the Fourth Proportional to 1,652.06, 2,478.09 and 497.81

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Solution

The fourth proportional to 1,652.06, 2,478.09 and 497.81 is: 746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.06 : 2,478.09 = 497.81 : x
  2. Step 2: Convert to fraction form
    1,652.06/2,478.09 = 497.81/x
  3. Step 3: Cross multiply
    1,652.06x = 2,478.09 × 497.81
  4. Step 4: Simplify right side
    1,652.06x = 1,233,617.98
  5. Step 5: Solve for x
    x = 1,233,617.98/1,652.06
  6. Step 6: Final answer
    x = 746.72

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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.