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Finding the Fourth Proportional to 711.36, 979.68 and 646.08

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Solution

The fourth proportional to 711.36, 979.68 and 646.08 is: 889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.36 : 979.68 = 646.08 : x
  2. Step 2: Convert to fraction form
    711.36/979.68 = 646.08/x
  3. Step 3: Cross multiply
    711.36x = 979.68 × 646.08
  4. Step 4: Simplify right side
    711.36x = 632,951.65
  5. Step 5: Solve for x
    x = 632,951.65/711.36
  6. Step 6: Final answer
    x = 889.78

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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.