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Finding the Fourth Proportional to 673.54, 930.63 and 586.06

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Solution

The fourth proportional to 673.54, 930.63 and 586.06 is: 809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.54 : 930.63 = 586.06 : x
  2. Step 2: Convert to fraction form
    673.54/930.63 = 586.06/x
  3. Step 3: Cross multiply
    673.54x = 930.63 × 586.06
  4. Step 4: Simplify right side
    673.54x = 545,405.02
  5. Step 5: Solve for x
    x = 545,405.02/673.54
  6. Step 6: Final answer
    x = 809.76

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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.