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Finding the Fourth Proportional to 673.18, 1,004.09 and 652.67

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Solution

The fourth proportional to 673.18, 1,004.09 and 652.67 is: 973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.18 : 1,004.09 = 652.67 : x
  2. Step 2: Convert to fraction form
    673.18/1,004.09 = 652.67/x
  3. Step 3: Cross multiply
    673.18x = 1,004.09 × 652.67
  4. Step 4: Simplify right side
    673.18x = 655,339.42
  5. Step 5: Solve for x
    x = 655,339.42/673.18
  6. Step 6: Final answer
    x = 973.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.