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Finding the Fourth Proportional to 673.02, 926.64 and 589.65

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Solution

The fourth proportional to 673.02, 926.64 and 589.65 is: 811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.02 : 926.64 = 589.65 : x
  2. Step 2: Convert to fraction form
    673.02/926.64 = 589.65/x
  3. Step 3: Cross multiply
    673.02x = 926.64 × 589.65
  4. Step 4: Simplify right side
    673.02x = 546,393.28
  5. Step 5: Solve for x
    x = 546,393.28/673.02
  6. Step 6: Final answer
    x = 811.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.