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Finding the Fourth Proportional to 646.65, 893.48 and 576.09

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Solution

The fourth proportional to 646.65, 893.48 and 576.09 is: 795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.65 : 893.48 = 576.09 : x
  2. Step 2: Convert to fraction form
    646.65/893.48 = 576.09/x
  3. Step 3: Cross multiply
    646.65x = 893.48 × 576.09
  4. Step 4: Simplify right side
    646.65x = 514,724.89
  5. Step 5: Solve for x
    x = 514,724.89/646.65
  6. Step 6: Final answer
    x = 795.99

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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.