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Finding the Fourth Proportional to 1,289.49, 1,779.75 and 758.40

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Solution

The fourth proportional to 1,289.49, 1,779.75 and 758.40 is: 1,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.49 : 1,779.75 = 758.40 : x
  2. Step 2: Convert to fraction form
    1,289.49/1,779.75 = 758.40/x
  3. Step 3: Cross multiply
    1,289.49x = 1,779.75 × 758.40
  4. Step 4: Simplify right side
    1,289.49x = 1,349,762.40
  5. Step 5: Solve for x
    x = 1,349,762.40/1,289.49
  6. Step 6: Final answer
    x = 1,046.74

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