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Finding the Fourth Proportional to 1,492.99, 2,060.18 and 829.78

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Solution

The fourth proportional to 1,492.99, 2,060.18 and 829.78 is: 1,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.99 : 2,060.18 = 829.78 : x
  2. Step 2: Convert to fraction form
    1,492.99/2,060.18 = 829.78/x
  3. Step 3: Cross multiply
    1,492.99x = 2,060.18 × 829.78
  4. Step 4: Simplify right side
    1,492.99x = 1,709,503.33
  5. Step 5: Solve for x
    x = 1,709,503.33/1,492.99
  6. Step 6: Final answer
    x = 1,145.02

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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.