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Finding the Fourth Proportional to 646.10, 964.47 and 597.92

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Solution

The fourth proportional to 646.10, 964.47 and 597.92 is: 892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.10 : 964.47 = 597.92 : x
  2. Step 2: Convert to fraction form
    646.10/964.47 = 597.92/x
  3. Step 3: Cross multiply
    646.10x = 964.47 × 597.92
  4. Step 4: Simplify right side
    646.10x = 576,676.22
  5. Step 5: Solve for x
    x = 576,676.22/646.10
  6. Step 6: Final answer
    x = 892.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.