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Finding the Fourth Proportional to 672.90, 929.07 and 599.10

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Solution

The fourth proportional to 672.90, 929.07 and 599.10 is: 827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.90 : 929.07 = 599.10 : x
  2. Step 2: Convert to fraction form
    672.90/929.07 = 599.10/x
  3. Step 3: Cross multiply
    672.90x = 929.07 × 599.10
  4. Step 4: Simplify right side
    672.90x = 556,605.84
  5. Step 5: Solve for x
    x = 556,605.84/672.90
  6. Step 6: Final answer
    x = 827.17

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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.