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Finding the Fourth Proportional to 646.68, 967.83 and 554.64

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Solution

The fourth proportional to 646.68, 967.83 and 554.64 is: 830.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.68 : 967.83 = 554.64 : x
  2. Step 2: Convert to fraction form
    646.68/967.83 = 554.64/x
  3. Step 3: Cross multiply
    646.68x = 967.83 × 554.64
  4. Step 4: Simplify right side
    646.68x = 536,797.23
  5. Step 5: Solve for x
    x = 536,797.23/646.68
  6. Step 6: Final answer
    x = 830.08

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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.