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Finding the Fourth Proportional to 594.74, 820.13 and 585.63

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Solution

The fourth proportional to 594.74, 820.13 and 585.63 is: 807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.74 : 820.13 = 585.63 : x
  2. Step 2: Convert to fraction form
    594.74/820.13 = 585.63/x
  3. Step 3: Cross multiply
    594.74x = 820.13 × 585.63
  4. Step 4: Simplify right side
    594.74x = 480,289.80
  5. Step 5: Solve for x
    x = 480,289.80/594.74
  6. Step 6: Final answer
    x = 807.56

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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.