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Finding the Fourth Proportional to 665.79, 1,000.00 and 402.77

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Solution

The fourth proportional to 665.79, 1,000.00 and 402.77 is: 604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.79 : 1,000.00 = 402.77 : x
  2. Step 2: Convert to fraction form
    665.79/1,000.00 = 402.77/x
  3. Step 3: Cross multiply
    665.79x = 1,000.00 × 402.77
  4. Step 4: Simplify right side
    665.79x = 402,767.99
  5. Step 5: Solve for x
    x = 402,767.99/665.79
  6. Step 6: Final answer
    x = 604.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.