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Finding the Fourth Proportional to 594.60, 822.42 and 525.60

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Solution

The fourth proportional to 594.60, 822.42 and 525.60 is: 726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.60 : 822.42 = 525.60 : x
  2. Step 2: Convert to fraction form
    594.60/822.42 = 525.60/x
  3. Step 3: Cross multiply
    594.60x = 822.42 × 525.60
  4. Step 4: Simplify right side
    594.60x = 432,263.95
  5. Step 5: Solve for x
    x = 432,263.95/594.60
  6. Step 6: Final answer
    x = 726.98

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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.