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Finding the Fourth Proportional to 594.91, 891.64 and 522.91

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Solution

The fourth proportional to 594.91, 891.64 and 522.91 is: 783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.91 : 891.64 = 522.91 : x
  2. Step 2: Convert to fraction form
    594.91/891.64 = 522.91/x
  3. Step 3: Cross multiply
    594.91x = 891.64 × 522.91
  4. Step 4: Simplify right side
    594.91x = 466,240.40
  5. Step 5: Solve for x
    x = 466,240.40/594.91
  6. Step 6: Final answer
    x = 783.72

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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.