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Finding the Fourth Proportional to 595.91, 822.46 and 569.63

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Solution

The fourth proportional to 595.91, 822.46 and 569.63 is: 786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.91 : 822.46 = 569.63 : x
  2. Step 2: Convert to fraction form
    595.91/822.46 = 569.63/x
  3. Step 3: Cross multiply
    595.91x = 822.46 × 569.63
  4. Step 4: Simplify right side
    595.91x = 468,498.19
  5. Step 5: Solve for x
    x = 468,498.19/595.91
  6. Step 6: Final answer
    x = 786.19

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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.