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Finding the Fourth Proportional to 670.93, 1,006.41 and 346.12

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Solution

The fourth proportional to 670.93, 1,006.41 and 346.12 is: 519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.93 : 1,006.41 = 346.12 : x
  2. Step 2: Convert to fraction form
    670.93/1,006.41 = 346.12/x
  3. Step 3: Cross multiply
    670.93x = 1,006.41 × 346.12
  4. Step 4: Simplify right side
    670.93x = 348,338.63
  5. Step 5: Solve for x
    x = 348,338.63/670.93
  6. Step 6: Final answer
    x = 519.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.