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Finding the Fourth Proportional to 1,289.78, 1,779.14 and 824.04

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Solution

The fourth proportional to 1,289.78, 1,779.14 and 824.04 is: 1,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.78 : 1,779.14 = 824.04 : x
  2. Step 2: Convert to fraction form
    1,289.78/1,779.14 = 824.04/x
  3. Step 3: Cross multiply
    1,289.78x = 1,779.14 × 824.04
  4. Step 4: Simplify right side
    1,289.78x = 1,466,082.53
  5. Step 5: Solve for x
    x = 1,466,082.53/1,289.78
  6. Step 6: Final answer
    x = 1,136.69

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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.