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Finding the Fourth Proportional to 623.02, 929.89 and 523.66

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Solution

The fourth proportional to 623.02, 929.89 and 523.66 is: 781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.02 : 929.89 = 523.66 : x
  2. Step 2: Convert to fraction form
    623.02/929.89 = 523.66/x
  3. Step 3: Cross multiply
    623.02x = 929.89 × 523.66
  4. Step 4: Simplify right side
    623.02x = 486,946.20
  5. Step 5: Solve for x
    x = 486,946.20/623.02
  6. Step 6: Final answer
    x = 781.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.