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Finding the Fourth Proportional to 1,289.19, 1,779.06 and 729.64

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Solution

The fourth proportional to 1,289.19, 1,779.06 and 729.64 is: 1,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.19 : 1,779.06 = 729.64 : x
  2. Step 2: Convert to fraction form
    1,289.19/1,779.06 = 729.64/x
  3. Step 3: Cross multiply
    1,289.19x = 1,779.06 × 729.64
  4. Step 4: Simplify right side
    1,289.19x = 1,298,073.34
  5. Step 5: Solve for x
    x = 1,298,073.34/1,289.19
  6. Step 6: Final answer
    x = 1,006.89

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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.