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Finding the Fourth Proportional to 646.22, 964.63 and 598.03

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Solution

The fourth proportional to 646.22, 964.63 and 598.03 is: 892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.22 : 964.63 = 598.03 : x
  2. Step 2: Convert to fraction form
    646.22/964.63 = 598.03/x
  3. Step 3: Cross multiply
    646.22x = 964.63 × 598.03
  4. Step 4: Simplify right side
    646.22x = 576,879.17
  5. Step 5: Solve for x
    x = 576,879.17/646.22
  6. Step 6: Final answer
    x = 892.70

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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.