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Finding the Fourth Proportional to 530.94, 791.66 and 522.84

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Solution

The fourth proportional to 530.94, 791.66 and 522.84 is: 779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.94 : 791.66 = 522.84 : x
  2. Step 2: Convert to fraction form
    530.94/791.66 = 522.84/x
  3. Step 3: Cross multiply
    530.94x = 791.66 × 522.84
  4. Step 4: Simplify right side
    530.94x = 413,911.51
  5. Step 5: Solve for x
    x = 413,911.51/530.94
  6. Step 6: Final answer
    x = 779.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.