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Finding the Fourth Proportional to 1,492.84, 2,060.03 and 829.67

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Solution

The fourth proportional to 1,492.84, 2,060.03 and 829.67 is: 1,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.84 : 2,060.03 = 829.67 : x
  2. Step 2: Convert to fraction form
    1,492.84/2,060.03 = 829.67/x
  3. Step 3: Cross multiply
    1,492.84x = 2,060.03 × 829.67
  4. Step 4: Simplify right side
    1,492.84x = 1,709,148.45
  5. Step 5: Solve for x
    x = 1,709,148.45/1,492.84
  6. Step 6: Final answer
    x = 1,144.90

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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.