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Finding the Fourth Proportional to 673.24, 928.02 and 563.08

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Solution

The fourth proportional to 673.24, 928.02 and 563.08 is: 776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.24 : 928.02 = 563.08 : x
  2. Step 2: Convert to fraction form
    673.24/928.02 = 563.08/x
  3. Step 3: Cross multiply
    673.24x = 928.02 × 563.08
  4. Step 4: Simplify right side
    673.24x = 522,549.50
  5. Step 5: Solve for x
    x = 522,549.50/673.24
  6. Step 6: Final answer
    x = 776.17

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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.