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Finding the Fourth Proportional to 595.00, 816.71 and 569.63

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Solution

The fourth proportional to 595.00, 816.71 and 569.63 is: 781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.00 : 816.71 = 569.63 : x
  2. Step 2: Convert to fraction form
    595.00/816.71 = 569.63/x
  3. Step 3: Cross multiply
    595.00x = 816.71 × 569.63
  4. Step 4: Simplify right side
    595.00x = 465,221.71
  5. Step 5: Solve for x
    x = 465,221.71/595.00
  6. Step 6: Final answer
    x = 781.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.