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Finding the Fourth Proportional to 673.18, 929.10 and 507.13

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Solution

The fourth proportional to 673.18, 929.10 and 507.13 is: 699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.18 : 929.10 = 507.13 : x
  2. Step 2: Convert to fraction form
    673.18/929.10 = 507.13/x
  3. Step 3: Cross multiply
    673.18x = 929.10 × 507.13
  4. Step 4: Simplify right side
    673.18x = 471,174.48
  5. Step 5: Solve for x
    x = 471,174.48/673.18
  6. Step 6: Final answer
    x = 699.92

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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.