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Finding the Fourth Proportional to 646.40, 967.68 and 582.40

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Solution

The fourth proportional to 646.40, 967.68 and 582.40 is: 871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.40 : 967.68 = 582.40 : x
  2. Step 2: Convert to fraction form
    646.40/967.68 = 582.40/x
  3. Step 3: Cross multiply
    646.40x = 967.68 × 582.40
  4. Step 4: Simplify right side
    646.40x = 563,576.83
  5. Step 5: Solve for x
    x = 563,576.83/646.40
  6. Step 6: Final answer
    x = 871.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.