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Finding the Fourth Proportional to 1,780.76, 2,670.93 and 482.13

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Solution

The fourth proportional to 1,780.76, 2,670.93 and 482.13 is: 723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.76 : 2,670.93 = 482.13 : x
  2. Step 2: Convert to fraction form
    1,780.76/2,670.93 = 482.13/x
  3. Step 3: Cross multiply
    1,780.76x = 2,670.93 × 482.13
  4. Step 4: Simplify right side
    1,780.76x = 1,287,735.48
  5. Step 5: Solve for x
    x = 1,287,735.48/1,780.76
  6. Step 6: Final answer
    x = 723.14

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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.