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Finding the Fourth Proportional to 687.84, 950.04 and 557.52

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Solution

The fourth proportional to 687.84, 950.04 and 557.52 is: 770.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.84 : 950.04 = 557.52 : x
  2. Step 2: Convert to fraction form
    687.84/950.04 = 557.52/x
  3. Step 3: Cross multiply
    687.84x = 950.04 × 557.52
  4. Step 4: Simplify right side
    687.84x = 529,666.30
  5. Step 5: Solve for x
    x = 529,666.30/687.84
  6. Step 6: Final answer
    x = 770.04

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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.