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Finding the Fourth Proportional to 594.64, 824.41 and 561.88

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Solution

The fourth proportional to 594.64, 824.41 and 561.88 is: 778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.64 : 824.41 = 561.88 : x
  2. Step 2: Convert to fraction form
    594.64/824.41 = 561.88/x
  3. Step 3: Cross multiply
    594.64x = 824.41 × 561.88
  4. Step 4: Simplify right side
    594.64x = 463,219.49
  5. Step 5: Solve for x
    x = 463,219.49/594.64
  6. Step 6: Final answer
    x = 778.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.