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Finding the Fourth Proportional to 1,493.12, 2,060.62 and 830.12

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Solution

The fourth proportional to 1,493.12, 2,060.62 and 830.12 is: 1,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.12 : 2,060.62 = 830.12 : x
  2. Step 2: Convert to fraction form
    1,493.12/2,060.62 = 830.12/x
  3. Step 3: Cross multiply
    1,493.12x = 2,060.62 × 830.12
  4. Step 4: Simplify right side
    1,493.12x = 1,710,561.87
  5. Step 5: Solve for x
    x = 1,710,561.87/1,493.12
  6. Step 6: Final answer
    x = 1,145.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.