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Finding the Fourth Proportional to 668.85, 924.99 and 585.82

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Solution

The fourth proportional to 668.85, 924.99 and 585.82 is: 810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.85 : 924.99 = 585.82 : x
  2. Step 2: Convert to fraction form
    668.85/924.99 = 585.82/x
  3. Step 3: Cross multiply
    668.85x = 924.99 × 585.82
  4. Step 4: Simplify right side
    668.85x = 541,877.64
  5. Step 5: Solve for x
    x = 541,877.64/668.85
  6. Step 6: Final answer
    x = 810.16

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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.