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Finding the Fourth Proportional to 595.95, 821.52 and 585.03

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Solution

The fourth proportional to 595.95, 821.52 and 585.03 is: 806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.95 : 821.52 = 585.03 : x
  2. Step 2: Convert to fraction form
    595.95/821.52 = 585.03/x
  3. Step 3: Cross multiply
    595.95x = 821.52 × 585.03
  4. Step 4: Simplify right side
    595.95x = 480,613.85
  5. Step 5: Solve for x
    x = 480,613.85/595.95
  6. Step 6: Final answer
    x = 806.47

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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.