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Finding the Fourth Proportional to 666.48, 997.80 and 557.04

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Solution

The fourth proportional to 666.48, 997.80 and 557.04 is: 833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.48 : 997.80 = 557.04 : x
  2. Step 2: Convert to fraction form
    666.48/997.80 = 557.04/x
  3. Step 3: Cross multiply
    666.48x = 997.80 × 557.04
  4. Step 4: Simplify right side
    666.48x = 555,814.51
  5. Step 5: Solve for x
    x = 555,814.51/666.48
  6. Step 6: Final answer
    x = 833.96

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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.