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Finding the Fourth Proportional to 595.12, 821.14 and 506.94

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Solution

The fourth proportional to 595.12, 821.14 and 506.94 is: 699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.12 : 821.14 = 506.94 : x
  2. Step 2: Convert to fraction form
    595.12/821.14 = 506.94/x
  3. Step 3: Cross multiply
    595.12x = 821.14 × 506.94
  4. Step 4: Simplify right side
    595.12x = 416,268.71
  5. Step 5: Solve for x
    x = 416,268.71/595.12
  6. Step 6: Final answer
    x = 699.47

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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.